Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
848d |
Isogeny class |
Conductor |
848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84 |
Modular degree for the optimal curve |
Δ |
-719104 = -1 · 28 · 532 |
Discriminant |
Eigenvalues |
2- -2 2 0 4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,40] |
[a1,a2,a3,a4,a6] |
j |
-810448/2809 |
j-invariant |
L |
1.2501824270723 |
L(r)(E,1)/r! |
Ω |
2.5003648541446 |
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 |
212b1 3392r2 7632p2 21200r2 |
Quadratic twists by: -4 8 -3 5 |