Atkin-Lehner |
2+ 7- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176i |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1124352 |
Modular degree for the optimal curve |
Δ |
-8671364594213888 = -1 · 210 · 78 · 29 · 373 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- 3 0 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213760,38231524] |
[a1,a2,a3,a4,a6] |
Generators |
[264:-518:1] |
Generators of the group modulo torsion |
j |
-1054884982188764164/8468129486537 |
j-invariant |
L |
6.6795488917162 |
L(r)(E,1)/r! |
Ω |
0.41461513967167 |
Real period |
R |
0.33562997426433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60088f1 |
Quadratic twists by: -4 |