Atkin-Lehner |
2- 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790bx |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
379392 |
Modular degree for the optimal curve |
Δ |
-270508740894720 = -1 · 213 · 312 · 5 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 6 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16448,-1129629] |
[a1,a2,a3,a4,a6] |
Generators |
[221:2337:1] |
Generators of the group modulo torsion |
j |
-675010800306361/371068231680 |
j-invariant |
L |
11.303531496018 |
L(r)(E,1)/r! |
Ω |
0.20552694647224 |
Real period |
R |
1.057650149683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930h1 |
Quadratic twists by: -3 |