Atkin-Lehner |
3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20445h |
Isogeny class |
Conductor |
20445 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
366336 |
Modular degree for the optimal curve |
Δ |
-55817961442422435 = -1 · 324 · 5 · 292 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- -4 -4 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38860,-11756129] |
[a1,a2,a3,a4,a6] |
Generators |
[2842:35231:8] |
Generators of the group modulo torsion |
j |
-6489978779037454336/55817961442422435 |
j-invariant |
L |
11.514585967575 |
L(r)(E,1)/r! |
Ω |
0.14920229123981 |
Real period |
R |
1.6077984169309 |
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 |
61335f1 102225g1 |
Quadratic twists by: -3 5 |