Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350fb |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-101640825000000 = -1 · 26 · 37 · 58 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11930,700697] |
[a1,a2,a3,a4,a6] |
Generators |
[219:2815:1] |
Generators of the group modulo torsion |
j |
-659361145/356928 |
j-invariant |
L |
11.12225938651 |
L(r)(E,1)/r! |
Ω |
0.55528422368677 |
Real period |
R |
0.13909617654114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450bl1 64350z1 |
Quadratic twists by: -3 5 |