Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700f |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
995926800 = 24 · 3 · 52 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-418,-2783] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:19:1] |
Generators of the group modulo torsion |
j |
20240961280/2489817 |
j-invariant |
L |
5.7017744438543 |
L(r)(E,1)/r! |
Ω |
1.0641622535413 |
Real period |
R |
0.29766630589341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700bn1 |
Quadratic twists by: 5 |