Atkin-Lehner |
2- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646v |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41856 |
Modular degree for the optimal curve |
Δ |
-627602192 = -1 · 24 · 74 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 3 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15,1201] |
[a1,a2,a3,a4,a6] |
j |
165375/261392 |
j-invariant |
L |
10.172777575828 |
L(r)(E,1)/r! |
Ω |
1.2715971970429 |
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 |
51646y1 |
Quadratic twists by: -7 |