Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552n |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-45902046531446784 = -1 · 211 · 33 · 7 · 179 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2346776,1382999856] |
[a1,a2,a3,a4,a6] |
j |
-5885299474/189 |
j-invariant |
L |
2.0097497222626 |
L(r)(E,1)/r! |
Ω |
0.33495828698836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104e1 48552g1 |
Quadratic twists by: -4 17 |