Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960x |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-49523857130160 = -1 · 24 · 32 · 5 · 77 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,425,-338708] |
[a1,a2,a3,a4,a6] |
j |
4499456/26309115 |
j-invariant |
L |
1.1740565524718 |
L(r)(E,1)/r! |
Ω |
0.29351405580681 |
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 |
14280r1 |
Quadratic twists by: -7 |