Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15624v |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-14829644592 = -1 · 24 · 39 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-570,-7859] |
[a1,a2,a3,a4,a6] |
j |
-1755904000/1271403 |
j-invariant |
L |
1.894035994368 |
L(r)(E,1)/r! |
Ω |
0.473508998592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248p1 124992bu1 5208d1 109368bo1 |
Quadratic twists by: -4 8 -3 -7 |