Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128w |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5084567237033984 = 228 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43969,-922209] |
[a1,a2,a3,a4,a6] |
Generators |
[1101:35868:1] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
3.1295053076143 |
L(r)(E,1)/r! |
Ω |
0.35133575146337 |
Real period |
R |
4.4537245290962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bj1 2254f1 10304d1 |
Quadratic twists by: -4 8 -7 |