Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400cp |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
632000 = 26 · 53 · 79 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-528,4498] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2670:1] |
Generators of the group modulo torsion |
j |
2038720832/79 |
j-invariant |
L |
6.0004820648492 |
L(r)(E,1)/r! |
Ω |
2.7047571498507 |
Real period |
R |
4.4369839670177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400cs1 63200j2 126400co1 |
Quadratic twists by: -4 8 5 |