Atkin-Lehner |
3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245l |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-186223660875 = -1 · 33 · 53 · 77 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -3 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1731,-34063] |
[a1,a2,a3,a4,a6] |
Generators |
[922:9061:8] |
Generators of the group modulo torsion |
j |
-4878401536/1582875 |
j-invariant |
L |
3.1908912656887 |
L(r)(E,1)/r! |
Ω |
0.36404971948071 |
Real period |
R |
4.3824937844328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7035l1 |
Quadratic twists by: -7 |