Atkin-Lehner |
5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3245c |
Isogeny class |
Conductor |
3245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-4786375 = -1 · 53 · 11 · 592 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9,-104] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
80062991/4786375 |
j-invariant |
L |
1.2516122143698 |
L(r)(E,1)/r! |
Ω |
1.1640063738058 |
Real period |
R |
2.1505246750111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51920g1 29205j1 16225e1 35695g1 |
Quadratic twists by: -4 -3 5 -11 |