Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25270u |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-3065980064770 = -1 · 2 · 5 · 73 · 197 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1271,-86561] |
[a1,a2,a3,a4,a6] |
j |
-4826809/65170 |
j-invariant |
L |
4.1030069486029 |
L(r)(E,1)/r! |
Ω |
0.34191724571692 |
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 |
126350s1 1330e1 |
Quadratic twists by: 5 -19 |