Atkin-Lehner |
2- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25568f |
Isogeny class |
Conductor |
25568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
2403392 = 26 · 17 · 472 |
Discriminant |
Eigenvalues |
2- -2 0 -2 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,40] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] [1:2:1] |
Generators of the group modulo torsion |
j |
97336000/37553 |
j-invariant |
L |
5.4218753689046 |
L(r)(E,1)/r! |
Ω |
2.3518444030224 |
Real period |
R |
2.305371631702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25568e1 51136p2 |
Quadratic twists by: -4 8 |