Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090x |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10969344 |
Modular degree for the optimal curve |
Δ |
-2.5896437123598E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3212341,1041249332] |
[a1,a2,a3,a4,a6] |
Generators |
[3828:261592:1] |
Generators of the group modulo torsion |
j |
88493315879/62511750 |
j-invariant |
L |
3.7614320125696 |
L(r)(E,1)/r! |
Ω |
0.091429380891113 |
Real period |
R |
6.8567162912441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000159096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090bl1 |
Quadratic twists by: -23 |