Atkin-Lehner |
7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3731d |
Isogeny class |
Conductor |
3731 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-630539 = -1 · 7 · 133 · 41 |
Discriminant |
Eigenvalues |
0 1 3 7- 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,21,19] |
[a1,a2,a3,a4,a6] |
Generators |
[5071:361146:1] |
Generators of the group modulo torsion |
j |
976191488/630539 |
j-invariant |
L |
4.095510835785 |
L(r)(E,1)/r! |
Ω |
1.8010636748418 |
Real period |
R |
6.8218201715905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59696n1 33579j1 93275a1 26117f1 |
Quadratic twists by: -4 -3 5 -7 |