Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bp |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-23420758473216 = -1 · 29 · 36 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-232882] |
[a1,a2,a3,a4,a6] |
Generators |
[84357:817622:729] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
7.5753785255582 |
L(r)(E,1)/r! |
Ω |
0.30538608598174 |
Real period |
R |
6.2014764860668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672o1 97344bl1 5408b1 3744g1 |
Quadratic twists by: -4 8 -3 13 |