Atkin-Lehner |
2- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
75152p |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-538689536 = -1 · 214 · 72 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,149,-870] |
[a1,a2,a3,a4,a6] |
j |
89314623/131516 |
j-invariant |
L |
1.7426632581758 |
L(r)(E,1)/r! |
Ω |
0.87133163227004 |
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 |
9394f1 |
Quadratic twists by: -4 |