Atkin-Lehner |
2- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
91300d |
Isogeny class |
Conductor |
91300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-456500000000 = -1 · 28 · 59 · 11 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1908,46312] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:250:1] |
Generators of the group modulo torsion |
j |
-192143824/114125 |
j-invariant |
L |
5.7500743461433 |
L(r)(E,1)/r! |
Ω |
0.86860095097268 |
Real period |
R |
0.55166053199633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18260a1 |
Quadratic twists by: 5 |