Atkin-Lehner |
3+ 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
110715j |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-94244692345546875 = -1 · 3 · 57 · 116 · 613 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 11- -4 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-55700,15631406] |
[a1,a2,a3,a4,a6] |
Generators |
[37:3690:1] [-150:4537:1] |
Generators of the group modulo torsion |
j |
-10788001140736/53198671875 |
j-invariant |
L |
4.3395551171519 |
L(r)(E,1)/r! |
Ω |
0.29333558861548 |
Real period |
R |
0.17611695418638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
915a1 |
Quadratic twists by: -11 |