Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cz |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-31024733313530880 = -1 · 210 · 38 · 5 · 74 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68738,-10934143] |
[a1,a2,a3,a4,a6] |
Generators |
[457:7047:1] |
Generators of the group modulo torsion |
j |
-49269815483779801/42557933214720 |
j-invariant |
L |
10.144537468096 |
L(r)(E,1)/r! |
Ω |
0.14226751056931 |
Real period |
R |
3.5653036416146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bm1 |
Quadratic twists by: -3 |