Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650eq |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-1009494046082812500 = -1 · 22 · 311 · 58 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2012180,1100187947] |
[a1,a2,a3,a4,a6] |
Generators |
[3069:152815:1] |
Generators of the group modulo torsion |
j |
-3163999679727385/3544999668 |
j-invariant |
L |
9.6319752325154 |
L(r)(E,1)/r! |
Ω |
0.27642552722118 |
Real period |
R |
1.4518641044036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bg1 97650bt1 |
Quadratic twists by: -3 5 |