Atkin-Lehner |
3- 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65565g |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95648 |
Modular degree for the optimal curve |
Δ |
-3900093046875 = -1 · 36 · 57 · 31 · 472 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 0 -6 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6408,-219112] |
[a1,a2,a3,a4,a6] |
Generators |
[94:95:1] |
Generators of the group modulo torsion |
j |
-39917533003776/5349921875 |
j-invariant |
L |
2.6223218509308 |
L(r)(E,1)/r! |
Ω |
0.26482560724583 |
Real period |
R |
4.951035283151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7285e1 |
Quadratic twists by: -3 |