Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400dx |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-20141047808000 = -1 · 226 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,980,215600] |
[a1,a2,a3,a4,a6] |
j |
1323/256 |
j-invariant |
L |
6.3353771221328 |
L(r)(E,1)/r! |
Ω |
0.52794809485224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400jr1 2450bc1 78400dy1 78400fs1 |
Quadratic twists by: -4 8 5 -7 |