Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960be |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
8221982760000 = 26 · 310 · 54 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9093,-303892] |
[a1,a2,a3,a4,a6] |
Generators |
[-66209:211876:1331] |
Generators of the group modulo torsion |
j |
1782123442624/176225625 |
j-invariant |
L |
8.4925591914702 |
L(r)(E,1)/r! |
Ω |
0.492014465609 |
Real period |
R |
8.6303958284493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009906 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84960k1 28320j1 |
Quadratic twists by: -4 -3 |