Atkin-Lehner |
2+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192c |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
68352 |
Modular degree for the optimal curve |
Δ |
-451892632576 = -1 · 210 · 76 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11- 6 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,336,32144] |
[a1,a2,a3,a4,a6] |
j |
4084589372/441301399 |
j-invariant |
L |
2.8800194189691 |
L(r)(E,1)/r! |
Ω |
0.72000485473674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19096a1 |
Quadratic twists by: -4 |