Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bc |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
239904 |
Modular degree for the optimal curve |
Δ |
-2346433761165312 = -1 · 214 · 3 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22759,1921532] |
[a1,a2,a3,a4,a6] |
Generators |
[456365:16533054:343] |
Generators of the group modulo torsion |
j |
27311375/49152 |
j-invariant |
L |
5.5128847190214 |
L(r)(E,1)/r! |
Ω |
0.31585664036534 |
Real period |
R |
8.7268779795901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686a1 49686cv1 |
Quadratic twists by: -7 13 |