Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dc |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9870336 |
Modular degree for the optimal curve |
Δ |
-1.4501510546278E+21 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37528769,-88496537759] |
[a1,a2,a3,a4,a6] |
Generators |
[1381478613735:-152441763650624:91733851] |
Generators of the group modulo torsion |
j |
-11060825617/2744 |
j-invariant |
L |
6.6450652644103 |
L(r)(E,1)/r! |
Ω |
0.03049804597841 |
Real period |
R |
18.157079279534 |
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 |
129472d1 32368y1 129472cl1 |
Quadratic twists by: -4 8 17 |