Atkin-Lehner |
2- 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674n |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-1.3770848462536E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12281981,-16565153083] |
[a1,a2,a3,a4,a6] |
Generators |
[4815:187096:1] |
Generators of the group modulo torsion |
j |
-281061535296977850715273/18890052760680192 |
j-invariant |
L |
6.9321786378275 |
L(r)(E,1)/r! |
Ω |
0.040322802181372 |
Real period |
R |
5.3724089277765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558i1 |
Quadratic twists by: -3 |