Atkin-Lehner |
3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37845i |
Isogeny class |
Conductor |
37845 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-2.3873154988363E+20 |
Discriminant |
Eigenvalues |
0 3- 5- -2 1 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,595428,722042442] |
[a1,a2,a3,a4,a6] |
Generators |
[6032:473062:1] |
Generators of the group modulo torsion |
j |
53838872576/550546875 |
j-invariant |
L |
5.3492477921765 |
L(r)(E,1)/r! |
Ω |
0.12937312116787 |
Real period |
R |
0.73834720180534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12615e1 1305e1 |
Quadratic twists by: -3 29 |