Atkin-Lehner |
2+ 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
116064h |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-55595292959232 = -1 · 29 · 313 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -4 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20595,-1192826] |
[a1,a2,a3,a4,a6] |
Generators |
[365:-6318:1] [413:7794:1] |
Generators of the group modulo torsion |
j |
-2588282117000/148950009 |
j-invariant |
L |
11.564785270439 |
L(r)(E,1)/r! |
Ω |
0.19860096922394 |
Real period |
R |
2.4263026252218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116064o1 38688e1 |
Quadratic twists by: -4 -3 |