Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49400b |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
857835347200 = 28 · 52 · 135 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113153,-14612603] |
[a1,a2,a3,a4,a6] |
j |
25034896175703040/134036773 |
j-invariant |
L |
2.0824416580762 |
L(r)(E,1)/r! |
Ω |
0.26030520734136 |
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 |
98800a1 49400bb1 |
Quadratic twists by: -4 5 |