Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cc |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1058400 |
Modular degree for the optimal curve |
Δ |
5269306535873296875 = 35 · 56 · 710 · 173 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-661526,175132073] |
[a1,a2,a3,a4,a6] |
j |
7253758561/1193859 |
j-invariant |
L |
3.4649394793009 |
L(r)(E,1)/r! |
Ω |
0.23099596569519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499c1 62475b1 |
Quadratic twists by: 5 -7 |