Atkin-Lehner |
3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065b |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-495333172096875 = -1 · 38 · 55 · 72 · 793 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -3 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15872,-737897] |
[a1,a2,a3,a4,a6] |
Generators |
[462:10039:1] |
Generators of the group modulo torsion |
j |
9023600138318759/10108840246875 |
j-invariant |
L |
5.6995665153508 |
L(r)(E,1)/r! |
Ω |
0.2823948363896 |
Real period |
R |
3.3638283359752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58065r1 |
Quadratic twists by: -7 |