Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37100d |
Isogeny class |
Conductor |
37100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-455935812500000000 = -1 · 28 · 512 · 72 · 533 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44092,-32305688] |
[a1,a2,a3,a4,a6] |
Generators |
[702:-18550:1] |
Generators of the group modulo torsion |
j |
2369917714736/113983953125 |
j-invariant |
L |
3.4323599434221 |
L(r)(E,1)/r! |
Ω |
0.14202264752004 |
Real period |
R |
0.67132484449909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7420a2 |
Quadratic twists by: 5 |