Atkin-Lehner |
2- 3- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bd |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
793860196031933184 = 28 · 36 · 710 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185041841,-968795885599] |
[a1,a2,a3,a4,a6] |
Generators |
[29977:4504024:1] |
Generators of the group modulo torsion |
j |
961182828357290366971501513/1088971462320896 |
j-invariant |
L |
6.5064216114378 |
L(r)(E,1)/r! |
Ω |
0.04093380060679 |
Real period |
R |
9.9343658464609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698b2 |
Quadratic twists by: -3 |