Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400cs |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-123000000000 = -1 · 29 · 3 · 59 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -6 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,-11512] |
[a1,a2,a3,a4,a6] |
j |
13481272/15375 |
j-invariant |
L |
4.5061992098436 |
L(r)(E,1)/r! |
Ω |
0.56327489550279 |
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 |
98400cc1 19680g1 |
Quadratic twists by: -4 5 |