Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640bg |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-29235789040640 = -1 · 210 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,-445340] |
[a1,a2,a3,a4,a6] |
Generators |
[31494:5589160:1] |
Generators of the group modulo torsion |
j |
-114244/35 |
j-invariant |
L |
8.8694300358253 |
L(r)(E,1)/r! |
Ω |
0.23792162905168 |
Real period |
R |
9.3196970695134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47320m1 94640a1 |
Quadratic twists by: -4 13 |