Atkin-Lehner |
3+ 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325p |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3312000 |
Modular degree for the optimal curve |
Δ |
-8.3435426402045E+19 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 11- 6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2064958,-1223074557] |
[a1,a2,a3,a4,a6] |
j |
-498571617828368384/42718938317847 |
j-invariant |
L |
5.0131548322601 |
L(r)(E,1)/r! |
Ω |
0.062664435400525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325be1 |
Quadratic twists by: 5 |