Atkin-Lehner |
2- 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480bp |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-48592244736000 = -1 · 215 · 34 · 53 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5160,366192] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:560:1] [84:720:1] |
Generators of the group modulo torsion |
j |
-3710197529641/11863341000 |
j-invariant |
L |
10.854262616075 |
L(r)(E,1)/r! |
Ω |
0.55785601463731 |
Real period |
R |
0.20267816895532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810f1 |
Quadratic twists by: -4 |