Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bh |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-125348445511744 = -1 · 26 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 0 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8056,458522] |
[a1,a2,a3,a4,a6] |
j |
1107392/2401 |
j-invariant |
L |
6.5171199395671 |
L(r)(E,1)/r! |
Ω |
0.40731999646549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712o1 37856t1 75712k1 |
Quadratic twists by: -4 8 13 |