Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368a |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
17444144095488 = 28 · 311 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-649788,201823668] |
[a1,a2,a3,a4,a6] |
Generators |
[194:9112:1] |
Generators of the group modulo torsion |
j |
89047436166614000/51195483 |
j-invariant |
L |
4.4359705875549 |
L(r)(E,1)/r! |
Ω |
0.5694199708506 |
Real period |
R |
3.8951659712118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736u1 49368t1 |
Quadratic twists by: -4 -11 |