Atkin-Lehner |
5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
99715m |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10478160 |
Modular degree for the optimal curve |
Δ |
-3.8811419100669E+21 |
Discriminant |
Eigenvalues |
-2 0 5- 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17910137,-29327603860] |
[a1,a2,a3,a4,a6] |
j |
-5400477932182072602624/32989161914396875 |
j-invariant |
L |
1.6506262916073 |
L(r)(E,1)/r! |
Ω |
0.036680586321845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2035b1 |
Quadratic twists by: -7 |