Atkin-Lehner |
2- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
37840m |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
2956250000 = 24 · 58 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 11+ -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6666,207259] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:625:1] |
Generators of the group modulo torsion |
j |
2047692815359744/184765625 |
j-invariant |
L |
4.1778856175404 |
L(r)(E,1)/r! |
Ω |
1.364027734135 |
Real period |
R |
1.5314518587086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9460b1 |
Quadratic twists by: -4 |