Atkin-Lehner |
2+ 3- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59496d |
Isogeny class |
Conductor |
59496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
633989376 = 28 · 33 · 372 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-652,6080] |
[a1,a2,a3,a4,a6] |
j |
119920231888/2476521 |
j-invariant |
L |
4.8648730315848 |
L(r)(E,1)/r! |
Ω |
1.6216243431034 |
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 |
118992e1 |
Quadratic twists by: -4 |