Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bo |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-8698933177088 = -1 · 28 · 77 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4801,-60775] |
[a1,a2,a3,a4,a6] |
Generators |
[158:2077:1] |
Generators of the group modulo torsion |
j |
104021936927/73939712 |
j-invariant |
L |
8.732184802887 |
L(r)(E,1)/r! |
Ω |
0.41306767884354 |
Real period |
R |
0.4404133415525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774i1 |
Quadratic twists by: -7 |