Atkin-Lehner |
2- 5+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
94550m |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-14655250000 = -1 · 24 · 56 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -3 -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3280,73347] |
[a1,a2,a3,a4,a6] |
Generators |
[45:101:1] |
Generators of the group modulo torsion |
j |
-249689960073/937936 |
j-invariant |
L |
10.798639492548 |
L(r)(E,1)/r! |
Ω |
1.2542800413943 |
Real period |
R |
1.0761790761617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3782a1 |
Quadratic twists by: 5 |