Atkin-Lehner |
3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475d |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
4593825796875 = 3 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 6 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5538,-122844] |
[a1,a2,a3,a4,a6] |
j |
208537/51 |
j-invariant |
L |
0.56330253931666 |
L(r)(E,1)/r! |
Ω |
0.56330253917976 |
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 |
2499h1 62475bw1 |
Quadratic twists by: 5 -7 |