Atkin-Lehner |
2- 3- 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526bh |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
2768392359936 = 212 · 37 · 73 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174029,-27899787] |
[a1,a2,a3,a4,a6] |
Generators |
[659:11640:1] |
Generators of the group modulo torsion |
j |
799574100630237577/3797520384 |
j-invariant |
L |
13.67760372226 |
L(r)(E,1)/r! |
Ω |
0.23374615044925 |
Real period |
R |
3.2508209040847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37842h1 |
Quadratic twists by: -3 |