Atkin-Lehner |
5- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
117845p |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
1.9244795962203E+19 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-829498,199949103] |
[a1,a2,a3,a4,a6] |
Generators |
[-2698:169415:8] |
Generators of the group modulo torsion |
j |
536513617074016009/163578066640625 |
j-invariant |
L |
6.1671573977101 |
L(r)(E,1)/r! |
Ω |
0.2011605363862 |
Real period |
R |
2.189849195544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16835c1 |
Quadratic twists by: -7 |