Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760ca |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
70002662400 = 210 · 36 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5787,168966] |
[a1,a2,a3,a4,a6] |
Generators |
[27:180:1] |
Generators of the group modulo torsion |
j |
28711552356/93775 |
j-invariant |
L |
6.8944256273559 |
L(r)(E,1)/r! |
Ω |
1.1004668330397 |
Real period |
R |
0.78312510350066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640a2 |
Quadratic twists by: -3 |