Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63308l |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1554084784 = -1 · 24 · 72 · 172 · 193 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -5 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,112,1841] |
[a1,a2,a3,a4,a6] |
Generators |
[46:323:1] |
Generators of the group modulo torsion |
j |
198180864/1982251 |
j-invariant |
L |
3.3953327399326 |
L(r)(E,1)/r! |
Ω |
1.1060817037079 |
Real period |
R |
0.1705385741461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63308a1 |
Quadratic twists by: -7 |