Atkin-Lehner |
2- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22360g |
Isogeny class |
Conductor |
22360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-698750000 = -1 · 24 · 57 · 13 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- -2 6 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215,-1688] |
[a1,a2,a3,a4,a6] |
Generators |
[29:125:1] |
Generators of the group modulo torsion |
j |
-69014050816/43671875 |
j-invariant |
L |
4.48132164601 |
L(r)(E,1)/r! |
Ω |
0.60581926566694 |
Real period |
R |
0.52836616698553 |
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 |
44720e1 111800d1 |
Quadratic twists by: -4 5 |