Atkin-Lehner |
2- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92708j |
Isogeny class |
Conductor |
92708 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-754141384304 = -1 · 24 · 77 · 113 · 43 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11- -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1094,-43679] |
[a1,a2,a3,a4,a6] |
Generators |
[75:539:1] |
Generators of the group modulo torsion |
j |
-76995328/400631 |
j-invariant |
L |
7.149925934888 |
L(r)(E,1)/r! |
Ω |
0.37395055933706 |
Real period |
R |
1.0622209226928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13244e1 |
Quadratic twists by: -7 |