Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926by |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
132145672764801024 = 214 · 313 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-845186,298771841] |
[a1,a2,a3,a4,a6] |
Generators |
[321:7615:1] |
Generators of the group modulo torsion |
j |
778510269523657/1540767744 |
j-invariant |
L |
7.3632430359639 |
L(r)(E,1)/r! |
Ω |
0.32911201269441 |
Real period |
R |
0.79903788201828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12642s1 774h1 |
Quadratic twists by: -3 -7 |