Atkin-Lehner |
2- 3- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49296x |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
1693797662588928 = 239 · 3 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 4 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78848,-8314956] |
[a1,a2,a3,a4,a6] |
Generators |
[1704690:43843584:2197] |
Generators of the group modulo torsion |
j |
13235529415578625/413524819968 |
j-invariant |
L |
6.7458744988059 |
L(r)(E,1)/r! |
Ω |
0.28545138636153 |
Real period |
R |
5.9080764896664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162l1 |
Quadratic twists by: -4 |