Atkin-Lehner |
2- 7- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176q |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-26501682779127808 = -1 · 226 · 73 · 292 · 372 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70896,2901440] |
[a1,a2,a3,a4,a6] |
Generators |
[122:3654:1] [626:17094:1] |
Generators of the group modulo torsion |
j |
9621058080526703/6470137397248 |
j-invariant |
L |
14.93211706967 |
L(r)(E,1)/r! |
Ω |
0.23631517650334 |
Real period |
R |
5.2656080235119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15022c1 |
Quadratic twists by: -4 |