Atkin-Lehner |
2+ 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152a |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
5482752 = 28 · 3 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,0] |
[a1,a2,a3,a4,a6] |
Generators |
[16:56:1] |
Generators of the group modulo torsion |
j |
37642192/21417 |
j-invariant |
L |
4.4716209887846 |
L(r)(E,1)/r! |
Ω |
1.9997130527049 |
Real period |
R |
2.2361313203093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15576d1 124608dm1 93456o1 |
Quadratic twists by: -4 8 -3 |