Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bw |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-29573120000 = -1 · 217 · 54 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 5 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3521,79679] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:400:1] |
Generators of the group modulo torsion |
j |
-102053522/625 |
j-invariant |
L |
9.6447981730583 |
L(r)(E,1)/r! |
Ω |
1.1839877291955 |
Real period |
R |
2.0365072064931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520l1 28880i1 115520bn1 |
Quadratic twists by: -4 8 -19 |