Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320ca |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-8419722854400 = -1 · 216 · 33 · 52 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,344,139700] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:330:1] |
Generators of the group modulo torsion |
j |
1095912791/2055596400 |
j-invariant |
L |
5.5960486623072 |
L(r)(E,1)/r! |
Ω |
0.57639464150537 |
Real period |
R |
0.40452960085442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290a1 102960eh1 |
Quadratic twists by: -4 -3 |