Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410bz |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
16770600000 = 26 · 32 · 55 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4925,130835] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-92:1] |
Generators of the group modulo torsion |
j |
9925899473771/12600000 |
j-invariant |
L |
7.2563666927219 |
L(r)(E,1)/r! |
Ω |
1.2314679503892 |
Real period |
R |
0.19641509117711 |
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 |
76230o1 127050dg1 25410s1 |
Quadratic twists by: -3 5 -11 |