Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200o |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
365192100000000 = 28 · 32 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-318508,-69075488] |
[a1,a2,a3,a4,a6] |
j |
893359210685776/91298025 |
j-invariant |
L |
1.607725896283 |
L(r)(E,1)/r! |
Ω |
0.20096573600871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54600t2 21840s2 |
Quadratic twists by: -4 5 |