Atkin-Lehner |
2+ 3+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
91632f |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
259717342464 = 28 · 312 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 0 -6 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1657,9109] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2187:1] |
Generators of the group modulo torsion |
j |
1966587808768/1014520869 |
j-invariant |
L |
3.3515391691756 |
L(r)(E,1)/r! |
Ω |
0.86567222949645 |
Real period |
R |
1.9358014807605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45816d1 |
Quadratic twists by: -4 |