Atkin-Lehner |
3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23265b |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-8724375 = -1 · 33 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] [8:15:1] |
Generators of the group modulo torsion |
j |
1601613/323125 |
j-invariant |
L |
4.5655001013581 |
L(r)(E,1)/r! |
Ω |
1.0924545189867 |
Real period |
R |
4.1791214389335 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23265j1 116325b1 |
Quadratic twists by: -3 5 |