Atkin-Lehner |
3+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475g |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-23556745107421875 = -1 · 313 · 510 · 17 · 89 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 -3 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,69342,-2289157] |
[a1,a2,a3,a4,a6] |
Generators |
[34869636646:1266058686321:27543608] |
Generators of the group modulo torsion |
j |
2359861494419456/1507631686875 |
j-invariant |
L |
13.441763111646 |
L(r)(E,1)/r! |
Ω |
0.21756439494468 |
Real period |
R |
15.445729429974 |
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 |
22695e1 |
Quadratic twists by: 5 |