Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37180h |
Isogeny class |
Conductor |
37180 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-773344000 = -1 · 28 · 53 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ 13- -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,208,676] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] [0:26:1] |
Generators of the group modulo torsion |
j |
1769472/1375 |
j-invariant |
L |
8.6225418496004 |
L(r)(E,1)/r! |
Ω |
1.0242540362858 |
Real period |
R |
0.46768680989801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37180e1 |
Quadratic twists by: 13 |