Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104cf |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-1847438843314176 = -1 · 229 · 35 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 5 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29008,-822336] |
[a1,a2,a3,a4,a6] |
Generators |
[984:14336:27] |
Generators of the group modulo torsion |
j |
2280364702703/1560674304 |
j-invariant |
L |
4.4574652506266 |
L(r)(E,1)/r! |
Ω |
0.26575728937126 |
Real period |
R |
2.0965865450092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138y1 97104cn1 |
Quadratic twists by: -4 17 |