Atkin-Lehner |
3- 5+ 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
37185d |
Isogeny class |
Conductor |
37185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
167758082325 = 32 · 52 · 37 · 674 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44494,-3616033] |
[a1,a2,a3,a4,a6] |
Generators |
[189065714:5019629767:238328] |
Generators of the group modulo torsion |
j |
9741235266990087769/167758082325 |
j-invariant |
L |
6.7843657923056 |
L(r)(E,1)/r! |
Ω |
0.32871975917034 |
Real period |
R |
10.319376312254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111555o4 |
Quadratic twists by: -3 |