Atkin-Lehner |
2- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117334o |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
315392 |
Modular degree for the optimal curve |
Δ |
-8780668300544 = -1 · 28 · 72 · 176 · 29 |
Discriminant |
Eigenvalues |
2- 1 3 7- 1 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29484,1951376] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1076:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
16.918979297437 |
L(r)(E,1)/r! |
Ω |
0.73553984767178 |
Real period |
R |
0.71881639245862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
406c1 |
Quadratic twists by: 17 |