Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
912a |
Isogeny class |
Conductor |
912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-3545856 = -1 · 28 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 1 -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[12:27:1] |
Generators of the group modulo torsion |
j |
-81415168/13851 |
j-invariant |
L |
1.9507400215064 |
L(r)(E,1)/r! |
Ω |
0.85950226490803 |
Real period |
R |
1.1348079587173 |
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 |
456c1 3648bj1 2736g1 22800y1 |
Quadratic twists by: -4 8 -3 5 |