Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960bj |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-78960 = -1 · 24 · 3 · 5 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[81:723:1] |
Generators of the group modulo torsion |
j |
-126217984/4935 |
j-invariant |
L |
4.6539164535881 |
L(r)(E,1)/r! |
Ω |
1.0513530707684 |
Real period |
R |
4.4265971011136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740q1 |
Quadratic twists by: -4 |