Atkin-Lehner |
2- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41360h |
Isogeny class |
Conductor |
41360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-640583680000 = -1 · 214 · 54 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,344,-38544] |
[a1,a2,a3,a4,a6] |
Generators |
[618:5325:8] |
Generators of the group modulo torsion |
j |
1095912791/156392500 |
j-invariant |
L |
7.5507275949735 |
L(r)(E,1)/r! |
Ω |
0.43086895330463 |
Real period |
R |
4.3811044733323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5170b1 |
Quadratic twists by: -4 |