Atkin-Lehner |
2+ 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550g |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-4780371093750000 = -1 · 24 · 33 · 514 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-437442,-111300284] |
[a1,a2,a3,a4,a6] |
j |
-21943298749909347/11331250000 |
j-invariant |
L |
0.74253332561459 |
L(r)(E,1)/r! |
Ω |
0.092816661084547 |
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 |
116550da1 23310bd1 |
Quadratic twists by: -3 5 |