Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800o |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-91411200 = -1 · 28 · 33 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 2 -1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-477] |
[a1,a2,a3,a4,a6] |
Generators |
[27:138:1] |
Generators of the group modulo torsion |
j |
-640000/14283 |
j-invariant |
L |
6.3256447419534 |
L(r)(E,1)/r! |
Ω |
0.82393476790053 |
Real period |
R |
0.31989004613354 |
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 |
27600e1 110400bh1 41400bo1 13800r1 |
Quadratic twists by: -4 8 -3 5 |