Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650d |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-1331187171875000 = -1 · 23 · 59 · 115 · 232 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 11+ 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63292,-6359384] |
[a1,a2,a3,a4,a6] |
Generators |
[349:3563:1] |
Generators of the group modulo torsion |
j |
-1794543557503761/85195979000 |
j-invariant |
L |
1.8177286997866 |
L(r)(E,1)/r! |
Ω |
0.15008266282201 |
Real period |
R |
3.0278792127082 |
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 |
101200ca1 113850fg1 2530l1 |
Quadratic twists by: -4 -3 5 |