Atkin-Lehner |
3- 7- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
95571i |
Isogeny class |
Conductor |
95571 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-23200529247 = -1 · 310 · 7 · 372 · 41 |
Discriminant |
Eigenvalues |
1 3- 4 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-945,13608] |
[a1,a2,a3,a4,a6] |
Generators |
[1396:2817:64] |
Generators of the group modulo torsion |
j |
-128100283921/31825143 |
j-invariant |
L |
9.824925955397 |
L(r)(E,1)/r! |
Ω |
1.1445515363795 |
Real period |
R |
4.2920417502707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31857f1 |
Quadratic twists by: -3 |