Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bz |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
42849554202 = 2 · 37 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 5 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10228,-402277] |
[a1,a2,a3,a4,a6] |
Generators |
[-3788:2499:64] |
Generators of the group modulo torsion |
j |
12079000375/4374 |
j-invariant |
L |
8.3602916164333 |
L(r)(E,1)/r! |
Ω |
0.47474575677572 |
Real period |
R |
2.935006613921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686cw2 49686g1 |
Quadratic twists by: -7 13 |