Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300bj |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
9878400 |
Modular degree for the optimal curve |
Δ |
-68290593750000 = -1 · 24 · 35 · 59 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159169458,772872595713] |
[a1,a2,a3,a4,a6] |
Generators |
[7458:25875:1] |
Generators of the group modulo torsion |
j |
-14270950687704125635328/2185299 |
j-invariant |
L |
6.8220927753399 |
L(r)(E,1)/r! |
Ω |
0.24634176287577 |
Real period |
R |
0.46156016992398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117300n1 |
Quadratic twists by: 5 |