Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696q |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-39818423757104 = -1 · 24 · 597 |
Discriminant |
Eigenvalues |
2- 1 -1 3 -2 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4641,325538] |
[a1,a2,a3,a4,a6] |
Generators |
[12318:107911:216] |
Generators of the group modulo torsion |
j |
-16384/59 |
j-invariant |
L |
7.1816456590852 |
L(r)(E,1)/r! |
Ω |
0.56527571556755 |
Real period |
R |
3.1761693723999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13924b1 944f1 |
Quadratic twists by: -4 -59 |