Atkin-Lehner |
5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120185b |
Isogeny class |
Conductor |
120185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
1111110325 = 52 · 13 · 434 |
Discriminant |
Eigenvalues |
-2 -1 5+ 2 -4 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-616,5872] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:107:1] [1:72:1] |
Generators of the group modulo torsion |
j |
7573504/325 |
j-invariant |
L |
4.5703198099197 |
L(r)(E,1)/r! |
Ω |
1.5326226547736 |
Real period |
R |
0.49700424677038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120185g1 |
Quadratic twists by: -43 |