Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878j |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
35020800 |
Modular degree for the optimal curve |
Δ |
1.7148209831817E+26 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1796234234,29294160432020] |
[a1,a2,a3,a4,a6] |
Generators |
[108477677790:1107829098415:4251528] |
Generators of the group modulo torsion |
j |
5447840452252848306225570457/1457573785736969298944 |
j-invariant |
L |
8.2330693658905 |
L(r)(E,1)/r! |
Ω |
0.0558576534361 |
Real period |
R |
12.282813037049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554c1 |
Quadratic twists by: -7 |