Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807y |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
826954821 = 32 · 76 · 11 · 71 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11- 5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-261,767] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
16777216/7029 |
j-invariant |
L |
6.2126131799992 |
L(r)(E,1)/r! |
Ω |
1.4348045392769 |
Real period |
R |
2.1649684831664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999451475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343d1 |
Quadratic twists by: -7 |