Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504d |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-14370902832 = -1 · 24 · 3 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403,-6422] |
[a1,a2,a3,a4,a6] |
Generators |
[250614:2617022:2197] |
Generators of the group modulo torsion |
j |
-256000/507 |
j-invariant |
L |
4.9952036524834 |
L(r)(E,1)/r! |
Ω |
0.50068800844412 |
Real period |
R |
9.9766792222168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752v1 624a1 |
Quadratic twists by: -4 -11 |