Atkin-Lehner |
2- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125426x |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
-41902819784 = -1 · 23 · 7 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 3 3 7- -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-683106,-217139351] |
[a1,a2,a3,a4,a6] |
j |
-1460474194254993/1736 |
j-invariant |
L |
15.942222196282 |
L(r)(E,1)/r! |
Ω |
0.083032398575767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
434e1 |
Quadratic twists by: 17 |