Atkin-Lehner |
2+ 3+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184i |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-99702191740835376 = -1 · 24 · 319 · 75 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- -1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65625,13723038] |
[a1,a2,a3,a4,a6] |
Generators |
[2445805621914:199367840616758:368601813] |
Generators of the group modulo torsion |
j |
1953462420151199744/6231386983802211 |
j-invariant |
L |
5.2250097163124 |
L(r)(E,1)/r! |
Ω |
0.23777020430901 |
Real period |
R |
21.975039856221 |
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 |
53592bc1 |
Quadratic twists by: -4 |