Atkin-Lehner |
3- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
66297j |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-12794242905301473 = -1 · 39 · 74 · 115 · 412 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- 0 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-77519,9924690] |
[a1,a2,a3,a4,a6] |
Generators |
[277:-3257:1] [151:-1367:1] |
Generators of the group modulo torsion |
j |
-21456376793415697/5328714246273 |
j-invariant |
L |
7.2732523167282 |
L(r)(E,1)/r! |
Ω |
0.38034716705621 |
Real period |
R |
0.070824693534601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66297h1 |
Quadratic twists by: -7 |