Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968d |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
234780775478784 = 29 · 33 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18411,-617310] |
[a1,a2,a3,a4,a6] |
j |
1061208/361 |
j-invariant |
L |
3.3692602808346 |
L(r)(E,1)/r! |
Ω |
0.42115749168665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968bf2 103968be2 5472p2 |
Quadratic twists by: -4 -3 -19 |