Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120et |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120637440 |
Modular degree for the optimal curve |
Δ |
1.9271723592632E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2472030363,-42330634854838] |
[a1,a2,a3,a4,a6] |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
0.086287722622681 |
L(r)(E,1)/r! |
Ω |
0.021571941140508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890bs1 29040cr1 87120en1 |
Quadratic twists by: -4 -3 -11 |