Atkin-Lehner |
2- 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13630h |
Isogeny class |
Conductor |
13630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-3407500000000 = -1 · 28 · 510 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -3 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3098,58229] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:131:1] |
Generators of the group modulo torsion |
j |
3289268830378959/3407500000000 |
j-invariant |
L |
7.2992505304268 |
L(r)(E,1)/r! |
Ω |
0.52402000598095 |
Real period |
R |
0.17411669514322 |
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 |
109040o1 122670p1 68150a1 |
Quadratic twists by: -4 -3 5 |