Atkin-Lehner |
2+ 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680s |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
4177578240 = 28 · 36 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44940,3651948] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:2640:1] [78:792:1] |
Generators of the group modulo torsion |
j |
39209618333914576/16318665 |
j-invariant |
L |
13.629384901758 |
L(r)(E,1)/r! |
Ω |
1.1272284057781 |
Real period |
R |
2.0151764617077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48840d1 |
Quadratic twists by: -4 |