Atkin-Lehner |
3+ 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119145c |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1965600 |
Modular degree for the optimal curve |
Δ |
-3390826429213396875 = -1 · 314 · 55 · 136 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-977045,382461263] |
[a1,a2,a3,a4,a6] |
Generators |
[-631:27337:1] |
Generators of the group modulo torsion |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
3.6537077030619 |
L(r)(E,1)/r! |
Ω |
0.2495794102682 |
Real period |
R |
1.4639459723625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999414146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
705a1 |
Quadratic twists by: 13 |