Atkin-Lehner |
3- 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
71595b |
Isogeny class |
Conductor |
71595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
1246826925 = 36 · 52 · 37 · 432 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 1 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-678,6579] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:107:1] |
Generators of the group modulo torsion |
j |
47280848896/1710325 |
j-invariant |
L |
6.0072438279144 |
L(r)(E,1)/r! |
Ω |
1.5221634689996 |
Real period |
R |
0.98662922056004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7955c1 |
Quadratic twists by: -3 |