Atkin-Lehner |
2+ 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960v |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
1132989696720 = 24 · 316 · 5 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2735,19320] |
[a1,a2,a3,a4,a6] |
Generators |
[88:684:1] |
Generators of the group modulo torsion |
j |
141460276688896/70811856045 |
j-invariant |
L |
8.4492579716027 |
L(r)(E,1)/r! |
Ω |
0.76944149750498 |
Real period |
R |
2.7452567861209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480y1 |
Quadratic twists by: -4 |