Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30420o |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
695761203862530000 = 24 · 38 · 54 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4139148,3241016597] |
[a1,a2,a3,a4,a6] |
j |
63404326912/5625 |
j-invariant |
L |
1.0941585388969 |
L(r)(E,1)/r! |
Ω |
0.27353963472372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680eg1 10140i1 30420y1 |
Quadratic twists by: -4 -3 13 |