Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305q |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-3106271476343175 = -1 · 3 · 52 · 74 · 297 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24371,2248331] |
[a1,a2,a3,a4,a6] |
Generators |
[41298:784733:216] |
Generators of the group modulo torsion |
j |
2691419471/5222175 |
j-invariant |
L |
8.8103128615622 |
L(r)(E,1)/r! |
Ω |
0.30986851076778 |
Real period |
R |
7.1081059928148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045d1 |
Quadratic twists by: 29 |