Atkin-Lehner |
2+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848a |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-13594968783872 = -1 · 210 · 710 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5635,240786] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:588:1] [35:294:1] |
Generators of the group modulo torsion |
j |
-164254500/112847 |
j-invariant |
L |
8.3835734680869 |
L(r)(E,1)/r! |
Ω |
0.65146779170693 |
Real period |
R |
3.217186472919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18424e1 5264c1 |
Quadratic twists by: -4 -7 |