Atkin-Lehner |
5- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84175l |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
598431640625 = 59 · 72 · 132 · 37 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 4 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5263,-142608] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:62:1] |
Generators of the group modulo torsion |
j |
8254655261/306397 |
j-invariant |
L |
3.0559802248052 |
L(r)(E,1)/r! |
Ω |
0.56179976915166 |
Real period |
R |
2.7198126412721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84175i1 |
Quadratic twists by: 5 |