Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070r |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-3425285926707840 = -1 · 27 · 38 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22565,3093995] |
[a1,a2,a3,a4,a6] |
Generators |
[915:26920:1] |
Generators of the group modulo torsion |
j |
-1557701041/4199040 |
j-invariant |
L |
4.7687439716015 |
L(r)(E,1)/r! |
Ω |
0.39325965803935 |
Real period |
R |
0.28871896929232 |
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 |
40560cv1 15210k1 25350bd1 5070b1 |
Quadratic twists by: -4 -3 5 13 |