Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10220g |
Isogeny class |
Conductor |
10220 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-2003120 = -1 · 24 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,70] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
-1048576/125195 |
j-invariant |
L |
4.0371733178879 |
L(r)(E,1)/r! |
Ω |
2.149743798767 |
Real period |
R |
0.2086643130944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40880x1 91980w1 51100b1 71540d1 |
Quadratic twists by: -4 -3 5 -7 |