Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215ck |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-18782275511256075 = -1 · 33 · 52 · 78 · 136 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,38645,-5897069] |
[a1,a2,a3,a4,a6] |
Generators |
[2855:152917:1] |
Generators of the group modulo torsion |
j |
229376/675 |
j-invariant |
L |
7.6842465239539 |
L(r)(E,1)/r! |
Ω |
0.19828635747997 |
Real period |
R |
6.4588798251558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215a1 735d1 |
Quadratic twists by: -7 13 |