Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9940h |
Isogeny class |
Conductor |
9940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
19760720 = 24 · 5 · 72 · 712 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105,-392] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:7:1] |
Generators of the group modulo torsion |
j |
8077950976/1235045 |
j-invariant |
L |
3.022538719654 |
L(r)(E,1)/r! |
Ω |
1.5055518794144 |
Real period |
R |
0.6691983984924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39760v1 89460e1 49700e1 69580l1 |
Quadratic twists by: -4 -3 5 -7 |