Atkin-Lehner |
5- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112385k |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
561925 = 52 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
0 3 5- 7+ -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-52,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:44:27] |
Generators of the group modulo torsion |
j |
92012544/3325 |
j-invariant |
L |
9.8086850729994 |
L(r)(E,1)/r! |
Ω |
1.7818152020701 |
Real period |
R |
2.7524417403055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112385h1 |
Quadratic twists by: 13 |