Atkin-Lehner |
2+ 3- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814v |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-1.2913375523765E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12339522,4532412348] |
[a1,a2,a3,a4,a6] |
Generators |
[83571:24138780:1] |
Generators of the group modulo torsion |
j |
285030394477921541318687/177138210202543980936 |
j-invariant |
L |
6.8669694260795 |
L(r)(E,1)/r! |
Ω |
0.064442615487095 |
Real period |
R |
1.4799923087163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938w1 |
Quadratic twists by: -3 |