Atkin-Lehner |
2- 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
103092a |
Isogeny class |
Conductor |
103092 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
28690104427776 = 28 · 34 · 117 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 11- -3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75181,7955257] |
[a1,a2,a3,a4,a6] |
Generators |
[-293:2178:1] [147:242:1] |
Generators of the group modulo torsion |
j |
103623368704/63261 |
j-invariant |
L |
8.5535203326055 |
L(r)(E,1)/r! |
Ω |
0.65660429714137 |
Real period |
R |
0.54278761513508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9372a1 |
Quadratic twists by: -11 |