Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232dc |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
957833428992 = 214 · 3 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5969,-169167] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1452:1] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
3.4009353057627 |
L(r)(E,1)/r! |
Ω |
0.54451215287473 |
Real period |
R |
1.5614597800103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232cb1 5808n1 69696gh1 2112w1 |
Quadratic twists by: -4 8 -3 -11 |