Atkin-Lehner |
2- 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88102h |
Isogeny class |
Conductor |
88102 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
433219383296 = 212 · 76 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 2 3 7- 0 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10634,-425321] |
[a1,a2,a3,a4,a6] |
Generators |
[-1581:1561:27] |
Generators of the group modulo torsion |
j |
1130389181713/3682304 |
j-invariant |
L |
18.495637074051 |
L(r)(E,1)/r! |
Ω |
0.47022989690448 |
Real period |
R |
1.6388824910005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798b1 |
Quadratic twists by: -7 |