Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475bb |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-88744359375 = -1 · 37 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220,14222] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:115:1] |
Generators of the group modulo torsion |
j |
103823/7791 |
j-invariant |
L |
4.3543383273822 |
L(r)(E,1)/r! |
Ω |
0.82087130316598 |
Real period |
R |
0.66306653513575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825p1 3339b1 |
Quadratic twists by: -3 5 |