Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cb |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-187425 = -1 · 32 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -1 7 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9,-17] |
[a1,a2,a3,a4,a6] |
j |
76895/153 |
j-invariant |
L |
3.3305011378747 |
L(r)(E,1)/r! |
Ω |
1.6652505651281 |
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 |
62475bh1 62475a1 |
Quadratic twists by: 5 -7 |