Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15925b |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-29274380078125 = -1 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ -5 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-260977] |
[a1,a2,a3,a4,a6] |
Generators |
[71:61:1] |
Generators of the group modulo torsion |
j |
-2401/325 |
j-invariant |
L |
2.805435749767 |
L(r)(E,1)/r! |
Ω |
0.29437127615299 |
Real period |
R |
4.7651316161515 |
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 |
3185f1 15925p1 |
Quadratic twists by: 5 -7 |