Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20496u |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
85749397880832 = 215 · 33 · 7 · 614 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130264,18047252] |
[a1,a2,a3,a4,a6] |
Generators |
[212:66:1] |
Generators of the group modulo torsion |
j |
59681582152007257/20934911592 |
j-invariant |
L |
4.8668093795475 |
L(r)(E,1)/r! |
Ω |
0.59446280153823 |
Real period |
R |
2.7289677150273 |
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 |
2562c3 81984bq4 61488w4 |
Quadratic twists by: -4 8 -3 |