Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312f |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
929280 |
Modular degree for the optimal curve |
Δ |
1493501774155776 = 212 · 35 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-748909,-249198299] |
[a1,a2,a3,a4,a6] |
j |
52906619392/1701 |
j-invariant |
L |
0.97374297662254 |
L(r)(E,1)/r! |
Ω |
0.16229049381261 |
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 |
81312y1 81312bh1 |
Quadratic twists by: -4 -11 |