Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192t |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-31658606592 = -1 · 224 · 3 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,288,-8448] |
[a1,a2,a3,a4,a6] |
Generators |
[68663:972040:343] |
Generators of the group modulo torsion |
j |
642735647/7729152 |
j-invariant |
L |
5.3219633492919 |
L(r)(E,1)/r! |
Ω |
0.57531918180726 |
Real period |
R |
9.2504535179479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3774r1 120768dv1 90576bg1 |
Quadratic twists by: -4 8 -3 |