Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280q |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-353800194437120 = -1 · 212 · 5 · 175 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 1 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74056,7784884] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:3128:1] [150:272:1] |
Generators of the group modulo torsion |
j |
-10966054014452809/86377000595 |
j-invariant |
L |
8.3192189067862 |
L(r)(E,1)/r! |
Ω |
0.54129885553845 |
Real period |
R |
0.25614990134893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1955a1 125120df1 |
Quadratic twists by: -4 8 |