Atkin-Lehner |
3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8415g |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
179647100768334375 = 39 · 55 · 112 · 176 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-480399,126647018] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:16074:1] |
Generators of the group modulo torsion |
j |
622929950501217507/9127018278125 |
j-invariant |
L |
5.2377886267849 |
L(r)(E,1)/r! |
Ω |
0.32122341183087 |
Real period |
R |
0.54352499785443 |
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 |
8415d2 42075c2 92565n2 |
Quadratic twists by: -3 5 -11 |