Atkin-Lehner |
13- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107939h |
Isogeny class |
Conductor |
107939 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204480 |
Modular degree for the optimal curve |
Δ |
-6147155949103 = -1 · 13 · 197 · 232 |
Discriminant |
Eigenvalues |
-1 2 -4 0 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-910,-120134] |
[a1,a2,a3,a4,a6] |
Generators |
[14526624:568177429:9261] |
Generators of the group modulo torsion |
j |
-1771561/130663 |
j-invariant |
L |
3.5021547115239 |
L(r)(E,1)/r! |
Ω |
0.33281182849809 |
Real period |
R |
10.52292734183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5681a1 |
Quadratic twists by: -19 |