Atkin-Lehner |
2+ 3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41736c |
Isogeny class |
Conductor |
41736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
3088464 = 24 · 3 · 372 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59,-174] |
[a1,a2,a3,a4,a6] |
Generators |
[618:5439:8] |
Generators of the group modulo torsion |
j |
1443776512/193029 |
j-invariant |
L |
6.9185411480196 |
L(r)(E,1)/r! |
Ω |
1.7353930623472 |
Real period |
R |
3.9867285966087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83472b1 125208h1 |
Quadratic twists by: -4 -3 |