Atkin-Lehner |
5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6565b |
Isogeny class |
Conductor |
6565 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-8371195625 = -1 · 54 · 13 · 1013 |
Discriminant |
Eigenvalues |
-1 1 5+ 2 -4 13+ -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,394,3245] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:16:1] |
Generators of the group modulo torsion |
j |
6763063792031/8371195625 |
j-invariant |
L |
2.713227246072 |
L(r)(E,1)/r! |
Ω |
0.87685866138182 |
Real period |
R |
1.5471291814557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105040l1 59085f1 32825c1 85345b1 |
Quadratic twists by: -4 -3 5 13 |