Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bc |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-101964624822472500 = -1 · 22 · 38 · 54 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18518,15398457] |
[a1,a2,a3,a4,a6] |
Generators |
[33:3833:1] |
Generators of the group modulo torsion |
j |
-963288634285081/139869169852500 |
j-invariant |
L |
8.8390075900043 |
L(r)(E,1)/r! |
Ω |
0.2749745616254 |
Real period |
R |
4.0181024099811 |
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 |
9570e4 |
Quadratic twists by: -3 |