Atkin-Lehner |
2- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42772c |
Isogeny class |
Conductor |
42772 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
242920494416 = 24 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 2 2 2 -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60497,5747450] |
[a1,a2,a3,a4,a6] |
Generators |
[11270:126108:125] |
Generators of the group modulo torsion |
j |
63404326912/629 |
j-invariant |
L |
10.458319033647 |
L(r)(E,1)/r! |
Ω |
0.8928523131808 |
Real period |
R |
7.8089204520923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2516b1 |
Quadratic twists by: 17 |