Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135t |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-7058232675 = -1 · 36 · 52 · 13 · 313 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,348,3177] |
[a1,a2,a3,a4,a6] |
Generators |
[77:697:1] |
Generators of the group modulo torsion |
j |
6393430016/9682075 |
j-invariant |
L |
3.204733683287 |
L(r)(E,1)/r! |
Ω |
0.90176456469794 |
Real period |
R |
0.29615395273752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015b1 90675z1 |
Quadratic twists by: -3 5 |