Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496i |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-15486859515789312 = -1 · 221 · 3 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180808,30252016] |
[a1,a2,a3,a4,a6] |
Generators |
[308:1920:1] |
Generators of the group modulo torsion |
j |
-159594930873015625/3780971561472 |
j-invariant |
L |
4.1149081311484 |
L(r)(E,1)/r! |
Ω |
0.39253720033128 |
Real period |
R |
2.6207122074517 |
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 |
2562e3 81984cg3 61488ba3 |
Quadratic twists by: -4 8 -3 |