Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36100c |
Isogeny class |
Conductor |
36100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-42868750000 = -1 · 24 · 58 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,11488] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:133:1] [-7:125:1] |
Generators of the group modulo torsion |
j |
-16384/25 |
j-invariant |
L |
6.2602003878294 |
L(r)(E,1)/r! |
Ω |
1.0253955813422 |
Real period |
R |
1.0175260653448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7220f1 36100b1 |
Quadratic twists by: 5 -19 |