Atkin-Lehner |
3+ 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20235j |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
255909515625 = 32 · 56 · 192 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2480,39800] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:203:1] [0:199:1] |
Generators of the group modulo torsion |
j |
1686901403185921/255909515625 |
j-invariant |
L |
4.5123557929894 |
L(r)(E,1)/r! |
Ω |
0.94279833544206 |
Real period |
R |
1.5953768065974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60705d2 101175q2 |
Quadratic twists by: -3 5 |