Atkin-Lehner |
3+ 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119325d |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1118671875 = -1 · 32 · 57 · 37 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 -4 -7 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,217,968] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [2:37:1] |
Generators of the group modulo torsion |
j |
71991296/71595 |
j-invariant |
L |
6.6599167061832 |
L(r)(E,1)/r! |
Ω |
1.0188595599794 |
Real period |
R |
1.6341596442944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23865e1 |
Quadratic twists by: 5 |