Atkin-Lehner |
2+ 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27306c |
Isogeny class |
Conductor |
27306 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
38658710448144 = 24 · 316 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-454383,118004445] |
[a1,a2,a3,a4,a6] |
j |
14231902020888283633/53029781136 |
j-invariant |
L |
1.1359851652573 |
L(r)(E,1)/r! |
Ω |
0.56799258262848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9102g1 |
Quadratic twists by: -3 |