Atkin-Lehner |
5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109025f |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
1718575001240234375 = 510 · 711 · 89 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -4 -7 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-505951,-123368577] |
[a1,a2,a3,a4,a6] |
j |
12466931425/1495823 |
j-invariant |
L |
0.72165294990828 |
L(r)(E,1)/r! |
Ω |
0.18041303506617 |
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 |
109025s1 15575d1 |
Quadratic twists by: 5 -7 |