Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510cw |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
196560 |
Modular degree for the optimal curve |
Δ |
-73059012512640 = -1 · 27 · 36 · 5 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39038,3006861] |
[a1,a2,a3,a4,a6] |
j |
-76711450249/851840 |
j-invariant |
L |
4.3170519406297 |
L(r)(E,1)/r! |
Ω |
0.61672170579088 |
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 |
5390s1 990l1 |
Quadratic twists by: -3 -7 |