Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cj |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-5312384000000 = -1 · 213 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2240,118912] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-280:1] |
Generators of the group modulo torsion |
j |
-2509090441/10718750 |
j-invariant |
L |
4.7989773442543 |
L(r)(E,1)/r! |
Ω |
0.66544184205303 |
Real period |
R |
0.10016271732542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bb1 67760ca1 |
Quadratic twists by: -4 -11 |