Atkin-Lehner |
3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8091c |
Isogeny class |
Conductor |
8091 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-1433296377 = -1 · 313 · 29 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -5 -4 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,130,-1762] |
[a1,a2,a3,a4,a6] |
Generators |
[24:109:1] [28:138:1] |
Generators of the group modulo torsion |
j |
335702375/1966113 |
j-invariant |
L |
3.5814151398043 |
L(r)(E,1)/r! |
Ω |
0.75877960070911 |
Real period |
R |
1.1799919029378 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456bl1 2697a1 |
Quadratic twists by: -4 -3 |