Atkin-Lehner |
2+ 3- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646m |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-198126010368 = -1 · 216 · 36 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 11+ 13- -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,882,-19116] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1098:1] |
Generators of the group modulo torsion |
j |
104021936927/271777792 |
j-invariant |
L |
2.0041330244418 |
L(r)(E,1)/r! |
Ω |
0.51777324159125 |
Real period |
R |
0.96766927222009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294g1 |
Quadratic twists by: -3 |