Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800bb |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2052000000 = 28 · 33 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4308,107388] |
[a1,a2,a3,a4,a6] |
Generators |
[42:48:1] |
Generators of the group modulo torsion |
j |
2211014608/513 |
j-invariant |
L |
6.3545415520998 |
L(r)(E,1)/r! |
Ω |
1.4327344444437 |
Real period |
R |
1.4784180875815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11400u1 91200ey1 68400bu1 912b1 |
Quadratic twists by: -4 8 -3 5 |