Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262p |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8531712 |
Modular degree for the optimal curve |
Δ |
-2164118753093435892 = -1 · 22 · 312 · 13 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-352374317,-2546123872201] |
[a1,a2,a3,a4,a6] |
Generators |
[158087687752880444133276012130055720802839801570324084505310388187989820119067:81165886811172332144726122068441126032963276750419626551901385532472447224272022:595480393556928311898533333607277990324942428311443643823362292585587093] |
Generators of the group modulo torsion |
j |
-61789369736823097873/27634932 |
j-invariant |
L |
8.2978202374212 |
L(r)(E,1)/r! |
Ω |
0.017422821901296 |
Real period |
R |
119.0653885523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123786o1 41262r1 |
Quadratic twists by: -3 -23 |