Atkin-Lehner |
2- 5- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
91120q |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
286848 |
Modular degree for the optimal curve |
Δ |
-3613402234880 = -1 · 215 · 5 · 173 · 672 |
Discriminant |
Eigenvalues |
2- -3 5- -4 2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5947,-198806] |
[a1,a2,a3,a4,a6] |
Generators |
[234:3350:1] |
Generators of the group modulo torsion |
j |
-5678813154321/882178280 |
j-invariant |
L |
3.8067045659716 |
L(r)(E,1)/r! |
Ω |
0.26952248823644 |
Real period |
R |
3.5309712036869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999662072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11390i1 |
Quadratic twists by: -4 |