Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840f |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
378880000 = 214 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 3 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181,19] |
[a1,a2,a3,a4,a6] |
j |
40247296/23125 |
j-invariant |
L |
2.8914921029551 |
L(r)(E,1)/r! |
Ω |
1.4457460514776 |
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 |
11840be1 740c1 106560dd1 59200i1 |
Quadratic twists by: -4 8 -3 5 |