Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472g |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-37743409052642304 = -1 · 210 · 320 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64637,-11264595] |
[a1,a2,a3,a4,a6] |
j |
-29165810409306112/36858797902971 |
j-invariant |
L |
2.5724034530131 |
L(r)(E,1)/r! |
Ω |
0.14291130281055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cm1 8184g1 |
Quadratic twists by: -4 8 |