Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830b |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-4339440 = -1 · 24 · 33 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[10:21:1] |
Generators of the group modulo torsion |
j |
-14348907/160720 |
j-invariant |
L |
3.9271058513968 |
L(r)(E,1)/r! |
Ω |
1.045493841686 |
Real period |
R |
1.8781104655117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25830v1 129150cj1 |
Quadratic twists by: -3 5 |