Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200ec |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-3994288593750000 = -1 · 24 · 32 · 510 · 75 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48958,-5144213] |
[a1,a2,a3,a4,a6] |
j |
-83058400000/25563447 |
j-invariant |
L |
3.1596829551814 |
L(r)(E,1)/r! |
Ω |
0.15798412861366 |
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 |
27300p1 109200gu1 |
Quadratic twists by: -4 5 |