Atkin-Lehner |
2- 3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bx |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-58880220315840 = -1 · 26 · 32 · 5 · 7 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8569,211133] |
[a1,a2,a3,a4,a6] |
Generators |
[49:842:1] |
Generators of the group modulo torsion |
j |
69584253580073231/58880220315840 |
j-invariant |
L |
7.7621628443764 |
L(r)(E,1)/r! |
Ω |
0.40536452655799 |
Real period |
R |
0.53190553301959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bv2 |
Quadratic twists by: -3 |