Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cy |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
28134534800400 = 24 · 3 · 52 · 710 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9556,-254080] |
[a1,a2,a3,a4,a6] |
Generators |
[5534:141293:8] |
Generators of the group modulo torsion |
j |
820288712881/239139600 |
j-invariant |
L |
13.045475250937 |
L(r)(E,1)/r! |
Ω |
0.49365318070402 |
Real period |
R |
3.3032997026493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430z1 |
Quadratic twists by: -7 |