Atkin-Lehner |
2- 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
63036h |
Isogeny class |
Conductor |
63036 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-20423664 = -1 · 24 · 36 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 3 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-333,2349] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] [-15:63:1] |
Generators of the group modulo torsion |
j |
-350113536/1751 |
j-invariant |
L |
9.4497343247445 |
L(r)(E,1)/r! |
Ω |
2.1710900482144 |
Real period |
R |
0.3627108240139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7004a1 |
Quadratic twists by: -3 |