Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23920c |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-2631965440 = -1 · 28 · 5 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-2645] |
[a1,a2,a3,a4,a6] |
Generators |
[46:299:1] |
Generators of the group modulo torsion |
j |
-1814078464/10281115 |
j-invariant |
L |
2.3582428656636 |
L(r)(E,1)/r! |
Ω |
0.60090678627811 |
Real period |
R |
0.65407894632878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11960d1 95680bu1 119600a1 |
Quadratic twists by: -4 8 5 |