Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090i |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3199392000 = -1 · 28 · 33 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-252,3024] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-44:1] |
Generators of the group modulo torsion |
j |
-3366353209/6048000 |
j-invariant |
L |
4.3981706723963 |
L(r)(E,1)/r! |
Ω |
1.2663479819491 |
Real period |
R |
0.57885230104198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090c1 |
Quadratic twists by: -23 |