Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bq |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
94276356475392 = 29 · 33 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -1 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12913,316292] |
[a1,a2,a3,a4,a6] |
Generators |
[4:512:1] |
Generators of the group modulo torsion |
j |
34913047/13824 |
j-invariant |
L |
3.6549461402981 |
L(r)(E,1)/r! |
Ω |
0.54656315615702 |
Real period |
R |
1.1145238810756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686r1 49686di1 |
Quadratic twists by: -7 13 |