Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120da |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
2245065304965120 = 237 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121803,16202362] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1842:1] |
Generators of the group modulo torsion |
j |
14934427706187/167772160 |
j-invariant |
L |
7.6450566028687 |
L(r)(E,1)/r! |
Ω |
0.46350387483975 |
Real period |
R |
4.1235127812932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890bf1 87120dn1 87120dc1 |
Quadratic twists by: -4 -3 -11 |