Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49400z |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208000 |
Modular degree for the optimal curve |
Δ |
-7718750000 = -1 · 24 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3 5- -5 -6 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12250,-521875] |
[a1,a2,a3,a4,a6] |
j |
-6505519104/247 |
j-invariant |
L |
0.90760010670925 |
L(r)(E,1)/r! |
Ω |
0.22690002697263 |
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 |
98800u1 49400k1 |
Quadratic twists by: -4 5 |