Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68770c |
Isogeny class |
Conductor |
68770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1266282367114947520 = 26 · 5 · 133 · 239 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 0 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-292284,27688506] |
[a1,a2,a3,a4,a6] |
Generators |
[1401:47967:1] |
Generators of the group modulo torsion |
j |
18653901818761/8553887680 |
j-invariant |
L |
4.9192071434325 |
L(r)(E,1)/r! |
Ω |
0.24390089110697 |
Real period |
R |
0.8403698869352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2990d2 |
Quadratic twists by: -23 |