Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840ce |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-6.8205846528E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 -5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60303387,-180287731766] |
[a1,a2,a3,a4,a6] |
j |
-8121969458732291369689/2284200000000000 |
j-invariant |
L |
1.1918716290057 |
L(r)(E,1)/r! |
Ω |
0.027087991568211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4230be1 11280s1 |
Quadratic twists by: -4 -3 |