Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483x |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
Δ |
-1885670989618563 = -1 · 313 · 72 · 176 |
Discriminant |
Eigenvalues |
2 3- -2 7- 2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-263664,52064471] |
[a1,a2,a3,a4,a6] |
Generators |
[3114:23405:8] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
12.438469093503 |
L(r)(E,1)/r! |
Ω |
0.46568143523158 |
Real period |
R |
1.0273174347274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449bq2 42483c2 147c2 |
Quadratic twists by: -3 -7 17 |