Atkin-Lehner |
2+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116272c |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
146304 |
Modular degree for the optimal curve |
Δ |
-581324653312 = -1 · 28 · 134 · 433 |
Discriminant |
Eigenvalues |
2+ 2 2 4 -1 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,37712] |
[a1,a2,a3,a4,a6] |
Generators |
[-96240:627652:3375] |
Generators of the group modulo torsion |
j |
-5940688/79507 |
j-invariant |
L |
13.761562578576 |
L(r)(E,1)/r! |
Ω |
0.77878280044679 |
Real period |
R |
8.8353020523292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58136l1 116272d1 |
Quadratic twists by: -4 13 |