Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200j |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-837465200 = -1 · 24 · 52 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 11- 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235,1965] |
[a1,a2,a3,a4,a6] |
Generators |
[4:33:1] |
Generators of the group modulo torsion |
j |
-3588122880/2093663 |
j-invariant |
L |
6.6856421707807 |
L(r)(E,1)/r! |
Ω |
1.4693156263049 |
Real period |
R |
0.91003485582568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600m1 57200s1 |
Quadratic twists by: -4 5 |