Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3700c |
Isogeny class |
Conductor |
3700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-324179200 = -1 · 28 · 52 · 373 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 6 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,172,-88] |
[a1,a2,a3,a4,a6] |
j |
87418160/50653 |
j-invariant |
L |
3.0586566089295 |
L(r)(E,1)/r! |
Ω |
1.0195522029765 |
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 |
14800r2 59200bh2 33300j2 3700f2 |
Quadratic twists by: -4 8 -3 5 |