Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dq |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-826820496930816000 = -1 · 214 · 39 · 53 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561168,167613408] |
[a1,a2,a3,a4,a6] |
Generators |
[1761:68121:1] |
Generators of the group modulo torsion |
j |
-60602588439552/2563893625 |
j-invariant |
L |
5.0495013551254 |
L(r)(E,1)/r! |
Ω |
0.27973484196747 |
Real period |
R |
1.8051027627461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520f1 20880d1 83520dw1 |
Quadratic twists by: -4 8 -3 |