Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bs |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
47120492548828125 = 33 · 510 · 78 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3899583,-2965262506] |
[a1,a2,a3,a4,a6] |
Generators |
[-1518396:177866:1331] |
Generators of the group modulo torsion |
j |
5708079923200/41013 |
j-invariant |
L |
7.7102264530041 |
L(r)(E,1)/r! |
Ω |
0.10743485215397 |
Real period |
R |
5.9805440780994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925be1 16275g1 |
Quadratic twists by: 5 -7 |