Atkin-Lehner |
2- 3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520ca |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
194702952960000 = 212 · 36 · 54 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72760,7548592] |
[a1,a2,a3,a4,a6] |
Generators |
[12:2584:1] |
Generators of the group modulo torsion |
j |
10400346394682041/47534900625 |
j-invariant |
L |
5.2678477727649 |
L(r)(E,1)/r! |
Ω |
0.56885921262725 |
Real period |
R |
1.1575464670145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996815 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4845g2 |
Quadratic twists by: -4 |