Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37620h |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-49364964000000 = -1 · 28 · 310 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6657,-265642] |
[a1,a2,a3,a4,a6] |
Generators |
[274:403:8] |
Generators of the group modulo torsion |
j |
174820311344/264515625 |
j-invariant |
L |
4.0285140918886 |
L(r)(E,1)/r! |
Ω |
0.33573605814427 |
Real period |
R |
5.9995255114326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540f2 |
Quadratic twists by: -3 |