Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bb |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-370093522176 = -1 · 28 · 33 · 72 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1521,18314] |
[a1,a2,a3,a4,a6] |
j |
56299900176/53543623 |
j-invariant |
L |
2.5028924328195 |
L(r)(E,1)/r! |
Ω |
0.62572302822226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25956f1 103824ba2 |
Quadratic twists by: -4 -3 |