Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142k |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
7366191168 = 26 · 3 · 74 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3791,-90046] |
[a1,a2,a3,a4,a6] |
Generators |
[-987:524:27] |
Generators of the group modulo torsion |
j |
6023104191483625/7366191168 |
j-invariant |
L |
4.6417465449638 |
L(r)(E,1)/r! |
Ω |
0.60849459599653 |
Real period |
R |
3.8141230632969 |
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 |
69426bo1 |
Quadratic twists by: -3 |