Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91035y |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-1869957064705074975 = -1 · 312 · 52 · 73 · 177 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,198922,56186156] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:5127:1] |
Generators of the group modulo torsion |
j |
49471280711/106269975 |
j-invariant |
L |
3.3120586733183 |
L(r)(E,1)/r! |
Ω |
0.18277473723482 |
Real period |
R |
0.75504113463668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999980935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30345bj1 5355k1 |
Quadratic twists by: -3 17 |