Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13920be |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
83520 = 26 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50,120] |
[a1,a2,a3,a4,a6] |
j |
220348864/1305 |
j-invariant |
L |
3.4336878459367 |
L(r)(E,1)/r! |
Ω |
3.4336878459367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13920d1 27840p1 41760f1 69600b1 |
Quadratic twists by: -4 8 -3 5 |