Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550le |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-12044316375000000 = -1 · 26 · 32 · 59 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37388,5965392] |
[a1,a2,a3,a4,a6] |
j |
-25153757/52416 |
j-invariant |
L |
4.2829660921077 |
L(r)(E,1)/r! |
Ω |
0.35691385060411 |
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 |
95550cl1 13650cd1 |
Quadratic twists by: 5 -7 |