Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11360m |
Isogeny class |
Conductor |
11360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1.4433834808E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 4 -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3980061,3062994965] |
[a1,a2,a3,a4,a6] |
Generators |
[27417:221804:27] |
Generators of the group modulo torsion |
j |
-1702288080319928149504/3523885451171875 |
j-invariant |
L |
5.7463808211247 |
L(r)(E,1)/r! |
Ω |
0.22264606797482 |
Real period |
R |
2.5809487108367 |
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 |
11360d1 22720z1 102240t1 56800h1 |
Quadratic twists by: -4 8 -3 5 |