Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544z |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
3652791552 = 28 · 36 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 5 -5 -4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840,8908] |
[a1,a2,a3,a4,a6] |
Generators |
[21:23:1] |
Generators of the group modulo torsion |
j |
351232000/19573 |
j-invariant |
L |
7.7898829773816 |
L(r)(E,1)/r! |
Ω |
1.3811835520474 |
Real period |
R |
1.4100014118948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999927458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30636c1 13616g1 |
Quadratic twists by: -4 -3 |