Atkin-Lehner |
2+ 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93058b |
Isogeny class |
Conductor |
93058 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1464425152626688 = -1 · 214 · 7 · 176 · 232 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -4 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9964,1801746] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-1489:1] [3105:171567:1] |
Generators of the group modulo torsion |
j |
4533086375/60669952 |
j-invariant |
L |
5.1007512675262 |
L(r)(E,1)/r! |
Ω |
0.3541556944345 |
Real period |
R |
7.2012837125465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
322b1 |
Quadratic twists by: 17 |