Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1904d |
Isogeny class |
Conductor |
1904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1949696 = -1 · 214 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,-30] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
658503/476 |
j-invariant |
L |
2.7193869003872 |
L(r)(E,1)/r! |
Ω |
1.4762568825137 |
Real period |
R |
1.8420824536694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
238b1 7616j1 17136bo1 47600s1 |
Quadratic twists by: -4 8 -3 5 |