Atkin-Lehner |
2- 3+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008p |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
903807039983616 = 212 · 310 · 433 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 2 4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40656,2817792] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:1944:1] |
Generators of the group modulo torsion |
j |
1814464139696209/220656015621 |
j-invariant |
L |
4.8643460029658 |
L(r)(E,1)/r! |
Ω |
0.48091287690759 |
Real period |
R |
1.2643521908577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6063d1 |
Quadratic twists by: -4 |