Atkin-Lehner |
5- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96425n |
Isogeny class |
Conductor |
96425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-2583888671875 = -1 · 59 · 74 · 19 · 29 |
Discriminant |
Eigenvalues |
2 2 5- 7+ 2 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3458,111193] |
[a1,a2,a3,a4,a6] |
Generators |
[11786:451871:8] |
Generators of the group modulo torsion |
j |
-2342039552/1322951 |
j-invariant |
L |
18.914953680548 |
L(r)(E,1)/r! |
Ω |
0.75301761035436 |
Real period |
R |
6.2797182359753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96425p1 |
Quadratic twists by: 5 |