Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218l |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
2729564045328384 = 214 · 37 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-231899,-43006039] |
[a1,a2,a3,a4,a6] |
Generators |
[-277:406:1] |
Generators of the group modulo torsion |
j |
778510269523657/1540767744 |
j-invariant |
L |
4.8660832636536 |
L(r)(E,1)/r! |
Ω |
0.21758375229795 |
Real period |
R |
3.1948835545339 |
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 |
93654n1 258b1 |
Quadratic twists by: -3 -11 |