Atkin-Lehner |
2+ 3- 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614m |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-319368799728 = -1 · 24 · 39 · 112 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2097,46413] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:231:1] |
Generators of the group modulo torsion |
j |
-1399290756625/438091632 |
j-invariant |
L |
4.7917600273212 |
L(r)(E,1)/r! |
Ω |
0.91347972727809 |
Real period |
R |
0.65570147232995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32538w1 |
Quadratic twists by: -3 |