Atkin-Lehner |
2+ 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674g |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
57007480652767008 = 25 · 318 · 7 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270396,52953264] |
[a1,a2,a3,a4,a6] |
Generators |
[343510:545819:1000] |
Generators of the group modulo torsion |
j |
2999147847636136897/78199561937952 |
j-invariant |
L |
5.3787742680619 |
L(r)(E,1)/r! |
Ω |
0.35159172097223 |
Real period |
R |
7.6491765124454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558r3 |
Quadratic twists by: -3 |