Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600q |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2851635200 = -1 · 215 · 52 · 592 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 5 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-2572] |
[a1,a2,a3,a4,a6] |
Generators |
[14:16:1] |
Generators of the group modulo torsion |
j |
-625/27848 |
j-invariant |
L |
6.7134052511261 |
L(r)(E,1)/r! |
Ω |
0.6532539255252 |
Real period |
R |
1.2846086699228 |
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 |
2950b1 94400bu1 23600bf1 |
Quadratic twists by: -4 8 5 |