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 |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-43197681106944 = -1 · 220 · 39 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7524,-193968] |
[a1,a2,a3,a4,a6] |
Generators |
[14088:86421:512] |
Generators of the group modulo torsion |
j |
64611537528383/59256078336 |
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 |
12558r1 |
Quadratic twists by: -3 |