Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bk |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
-90791712864 = -1 · 25 · 37 · 172 · 672 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -1 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1031,7001] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1151:1] |
Generators of the group modulo torsion |
j |
419348928527/314158176 |
j-invariant |
L |
16.961128205982 |
L(r)(E,1)/r! |
Ω |
0.68536377311903 |
Real period |
R |
0.35353755203506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116178z1 |
Quadratic twists by: 17 |