Atkin-Lehner |
2- 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178bp |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
2820096 |
Modular degree for the optimal curve |
Δ |
97295094180347904 = 217 · 33 · 177 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -5 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1003125,386330913] |
[a1,a2,a3,a4,a6] |
Generators |
[-996:20439:1] [534:1467:1] |
Generators of the group modulo torsion |
j |
4624825736604529/4030857216 |
j-invariant |
L |
19.179304659422 |
L(r)(E,1)/r! |
Ω |
0.33500409476225 |
Real period |
R |
0.28064194077944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834l1 |
Quadratic twists by: 17 |