Atkin-Lehner |
2- 7+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30044a |
Isogeny class |
Conductor |
30044 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-120176 = -1 · 24 · 7 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
9199872/7511 |
j-invariant |
L |
2.8655033639951 |
L(r)(E,1)/r! |
Ω |
2.1394997272983 |
Real period |
R |
1.3393333625771 |
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 |
120176t1 |
Quadratic twists by: -4 |