Atkin-Lehner |
7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
42581h |
Isogeny class |
Conductor |
42581 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-1718296939667 = -1 · 711 · 11 · 79 |
Discriminant |
Eigenvalues |
0 1 0 7- 11+ -7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2123,72748] |
[a1,a2,a3,a4,a6] |
Generators |
[394:2397:8] |
Generators of the group modulo torsion |
j |
-8998912000/14605283 |
j-invariant |
L |
3.8627938497678 |
L(r)(E,1)/r! |
Ω |
0.75240618622649 |
Real period |
R |
1.283480226665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083b1 |
Quadratic twists by: -7 |