Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756bi |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-269387206704 = -1 · 24 · 310 · 72 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,996,21845] |
[a1,a2,a3,a4,a6] |
j |
9368158208/23095611 |
j-invariant |
L |
2.7359905500893 |
L(r)(E,1)/r! |
Ω |
0.68399763738465 |
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 |
21252d1 |
Quadratic twists by: -3 |