Atkin-Lehner |
2- 3- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182x |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-159990792192 = -1 · 214 · 33 · 72 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1212,-10224] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-246:1] |
Generators of the group modulo torsion |
j |
196883434109375/159990792192 |
j-invariant |
L |
10.559101105169 |
L(r)(E,1)/r! |
Ω |
0.5671512594755 |
Real period |
R |
0.44328063275959 |
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 |
84546u1 |
Quadratic twists by: -3 |