Atkin-Lehner |
2+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
114638f |
Isogeny class |
Conductor |
114638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
4314304995490304 = 29 · 31 · 437 |
Discriminant |
Eigenvalues |
2+ 0 1 2 5 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-384014,-91443884] |
[a1,a2,a3,a4,a6] |
Generators |
[-44745:51509:125] |
Generators of the group modulo torsion |
j |
990728800209/682496 |
j-invariant |
L |
6.1656630997413 |
L(r)(E,1)/r! |
Ω |
0.19179209175063 |
Real period |
R |
8.0369099061568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666d1 |
Quadratic twists by: -43 |