Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800dd |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-151470080000000000 = -1 · 223 · 510 · 432 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 3 0 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132500,2450000] |
[a1,a2,a3,a4,a6] |
j |
100491975/59168 |
j-invariant |
L |
7.1095720183127 |
L(r)(E,1)/r! |
Ω |
0.19748811117054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bp1 17200z1 68800el1 |
Quadratic twists by: -4 8 5 |