Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bj |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
3160096985573822112 = 25 · 3 · 79 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -1 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-405942,-50977496] |
[a1,a2,a3,a4,a6] |
Generators |
[-11526:185996:27] |
Generators of the group modulo torsion |
j |
77086633/32928 |
j-invariant |
L |
4.1924911431788 |
L(r)(E,1)/r! |
Ω |
0.1965621555111 |
Real period |
R |
5.3322715304531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098a1 49686dc1 |
Quadratic twists by: -7 13 |