Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800df |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-22333829939200 = -1 · 236 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8353,374337] |
[a1,a2,a3,a4,a6] |
Generators |
[26523:147456:343] |
Generators of the group modulo torsion |
j |
-9836106385/3407872 |
j-invariant |
L |
8.3806057029247 |
L(r)(E,1)/r! |
Ω |
0.63915536143716 |
Real period |
R |
3.2780002361557 |
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 |
20800bf1 5200t1 20800dv1 |
Quadratic twists by: -4 8 5 |