Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168t |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
46752488224718848 = 224 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 2 2 11- 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260432,49999508] |
[a1,a2,a3,a4,a6] |
Generators |
[42970:137728:125] |
Generators of the group modulo torsion |
j |
2224882033/53248 |
j-invariant |
L |
7.6820226024822 |
L(r)(E,1)/r! |
Ω |
0.35780180886298 |
Real period |
R |
5.3675124134322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146m1 100672dz1 25168bi1 |
Quadratic twists by: -4 8 -11 |