Atkin-Lehner |
2+ 3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18942f |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-373832893739090016 = -1 · 25 · 35 · 78 · 112 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25008,-29367072] |
[a1,a2,a3,a4,a6] |
Generators |
[373:5473:1] |
Generators of the group modulo torsion |
j |
1729551344017868279/373832893739090016 |
j-invariant |
L |
3.50976764453 |
L(r)(E,1)/r! |
Ω |
0.14195235226582 |
Real period |
R |
1.5453106220625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56826bc1 |
Quadratic twists by: -3 |