Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350f |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.8874116539955E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-917077167,-10603514414759] |
[a1,a2,a3,a4,a6] |
j |
7488482171405468850635689/69244766235351562500 |
j-invariant |
L |
1.9763913969949 |
L(r)(E,1)/r! |
Ω |
0.027449880513866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450n4 7470p3 |
Quadratic twists by: -3 5 |