Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12920o |
Isogeny class |
Conductor |
12920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-1215665565040 = -1 · 24 · 5 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 2 5- -5 -2 -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3320,91865] |
[a1,a2,a3,a4,a6] |
j |
-253016466094336/75979097815 |
j-invariant |
L |
1.6364749957699 |
L(r)(E,1)/r! |
Ω |
0.81823749788493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25840o1 103360r1 116280h1 64600b1 |
Quadratic twists by: -4 8 -3 5 |