Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bl |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2911546964908736 = -1 · 26 · 710 · 115 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-395495,95899693] |
[a1,a2,a3,a4,a6] |
Generators |
[348:539:1] |
Generators of the group modulo torsion |
j |
-908614343190016/386683451 |
j-invariant |
L |
4.6457173295096 |
L(r)(E,1)/r! |
Ω |
0.44448546104706 |
Real period |
R |
1.0451899413236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496m1 17248g1 4928n1 |
Quadratic twists by: -4 8 -7 |