Atkin-Lehner |
2+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318i |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5660357236145389568 = 217 · 710 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34233924,77081881808] |
[a1,a2,a3,a4,a6] |
Generators |
[268283063:-147024097:79507] |
Generators of the group modulo torsion |
j |
37714255457181285391417/48112242655232 |
j-invariant |
L |
7.4329422474453 |
L(r)(E,1)/r! |
Ω |
0.20343728221631 |
Real period |
R |
9.1341937997669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474b2 |
Quadratic twists by: -7 |