Atkin-Lehner |
2+ 3- 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646q |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-12092652 = -1 · 22 · 36 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87,377] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-11:1] |
Generators of the group modulo torsion |
j |
-100544625/16588 |
j-invariant |
L |
5.185055147688 |
L(r)(E,1)/r! |
Ω |
2.1738341026951 |
Real period |
R |
0.59630299545653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294b1 |
Quadratic twists by: -3 |