Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
75140j |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
396576 |
Modular degree for the optimal curve |
Δ |
-37724896240928000 = -1 · 28 · 53 · 132 · 178 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126100,19563748] |
[a1,a2,a3,a4,a6] |
Generators |
[411:6110:1] |
Generators of the group modulo torsion |
j |
-124176976/21125 |
j-invariant |
L |
7.9410002611337 |
L(r)(E,1)/r! |
Ω |
0.35131247320664 |
Real period |
R |
3.76730160282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000909 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75140c1 |
Quadratic twists by: 17 |