Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7260c |
Isogeny class |
Conductor |
7260 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-907500000000 = -1 · 28 · 3 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4341,120705] |
[a1,a2,a3,a4,a6] |
Generators |
[448:9375:1] |
Generators of the group modulo torsion |
j |
-292124360704/29296875 |
j-invariant |
L |
3.6306297108983 |
L(r)(E,1)/r! |
Ω |
0.8635615311483 |
Real period |
R |
2.1021256621231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29040dc1 116160eo1 21780ba1 36300bu1 |
Quadratic twists by: -4 8 -3 5 |