Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400bt |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
32431640625000000 = 26 · 34 · 516 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84658,3877312] |
[a1,a2,a3,a4,a6] |
j |
67101596779456/32431640625 |
j-invariant |
L |
1.3153216978847 |
L(r)(E,1)/r! |
Ω |
0.32883041307774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400t1 19680h1 |
Quadratic twists by: -4 5 |