Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18400h |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-2059629760000000 = -1 · 212 · 57 · 235 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 -6 -4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-729533,239603563] |
[a1,a2,a3,a4,a6] |
Generators |
[317:6348:1] [478:575:1] |
Generators of the group modulo torsion |
j |
-670933008285184/32181715 |
j-invariant |
L |
5.4715713830769 |
L(r)(E,1)/r! |
Ω |
0.4381569037902 |
Real period |
R |
0.31219246665672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400o1 36800ba1 3680e1 |
Quadratic twists by: -4 8 5 |