Atkin-Lehner |
2+ 3- 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746p |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36608 |
Modular degree for the optimal curve |
Δ |
-129901584384 = -1 · 213 · 34 · 11 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11+ 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1191,-6980] |
[a1,a2,a3,a4,a6] |
Generators |
[8:51:1] |
Generators of the group modulo torsion |
j |
187060922218871/129901584384 |
j-invariant |
L |
4.6643312936714 |
L(r)(E,1)/r! |
Ω |
0.58832197088871 |
Real period |
R |
0.99102437195774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238cr1 |
Quadratic twists by: -3 |