Atkin-Lehner |
2- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
65072o |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57456 |
Modular degree for the optimal curve |
Δ |
-122490491648 = -1 · 28 · 78 · 83 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 1 -6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,35113] |
[a1,a2,a3,a4,a6] |
Generators |
[33:98:1] |
Generators of the group modulo torsion |
j |
-458752/83 |
j-invariant |
L |
2.171715206867 |
L(r)(E,1)/r! |
Ω |
1.0054121186232 |
Real period |
R |
0.36000414924747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16268b1 65072r1 |
Quadratic twists by: -4 -7 |