Atkin-Lehner |
2+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23312b |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1095664 = -1 · 24 · 31 · 472 |
Discriminant |
Eigenvalues |
2+ -2 -1 -5 -4 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,51] |
[a1,a2,a3,a4,a6] |
Generators |
[5:11:1] [13:47:1] |
Generators of the group modulo torsion |
j |
-30118144/68479 |
j-invariant |
L |
4.5961106364452 |
L(r)(E,1)/r! |
Ω |
2.444319981734 |
Real period |
R |
0.94016140906069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11656b1 93248bi1 |
Quadratic twists by: -4 8 |