Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37700f |
Isogeny class |
Conductor |
37700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-355322500000000 = -1 · 28 · 510 · 132 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16492,-392012] |
[a1,a2,a3,a4,a6] |
Generators |
[139:2146:1] |
Generators of the group modulo torsion |
j |
124010187824/88830625 |
j-invariant |
L |
4.5139232026504 |
L(r)(E,1)/r! |
Ω |
0.30290104479667 |
Real period |
R |
3.7255757946297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540e2 |
Quadratic twists by: 5 |