Atkin-Lehner |
2- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42826q |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-40261422890752 = -1 · 28 · 77 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 2 4 7- -4 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3431,313501] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/342216448 |
j-invariant |
L |
8.8278633461402 |
L(r)(E,1)/r! |
Ω |
0.55174145914892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118k1 |
Quadratic twists by: -7 |