Atkin-Lehner |
3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325be |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
662400 |
Modular degree for the optimal curve |
Δ |
-5339867289730875 = -1 · 33 · 53 · 1110 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 11- -6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-82598,-9817636] |
[a1,a2,a3,a4,a6] |
Generators |
[349:1996:1] |
Generators of the group modulo torsion |
j |
-498571617828368384/42718938317847 |
j-invariant |
L |
4.0497191053692 |
L(r)(E,1)/r! |
Ω |
0.14012193732722 |
Real period |
R |
0.48168987461169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325p1 |
Quadratic twists by: 5 |