Atkin-Lehner |
7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112651g |
Isogeny class |
Conductor |
112651 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-100145077831343699 = -1 · 76 · 119 · 192 |
Discriminant |
Eigenvalues |
2 3 3 7- 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,65219,13810123] |
[a1,a2,a3,a4,a6] |
Generators |
[-1125341338440:14292717253813:8489664000] |
Generators of the group modulo torsion |
j |
110592/361 |
j-invariant |
L |
30.622244940523 |
L(r)(E,1)/r! |
Ω |
0.23791758551696 |
Real period |
R |
16.088683017055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2299a1 112651e1 |
Quadratic twists by: -7 -11 |