Atkin-Lehner |
3- 5- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
71595g |
Isogeny class |
Conductor |
71595 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-9655659675 = -1 · 38 · 52 · 372 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- -2 3 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,78,4720] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:255:8] [-2:67:1] |
Generators of the group modulo torsion |
j |
71991296/13245075 |
j-invariant |
L |
8.9901365778544 |
L(r)(E,1)/r! |
Ω |
0.99767360809105 |
Real period |
R |
1.1263874909736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23865a1 |
Quadratic twists by: -3 |