Atkin-Lehner |
2+ 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290bb |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
125830015510118400 = 220 · 310 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-353394,-78950700] |
[a1,a2,a3,a4,a6] |
Generators |
[-381:717:1] |
Generators of the group modulo torsion |
j |
6695367041819128609/172606331289600 |
j-invariant |
L |
4.2250191803254 |
L(r)(E,1)/r! |
Ω |
0.19611811453028 |
Real period |
R |
1.7952698175631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bk1 |
Quadratic twists by: -3 |