Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
70560cs |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-7842948117096960 = -1 · 29 · 312 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1612443,788099438] |
[a1,a2,a3,a4,a6] |
Generators |
[637:4410:1] |
Generators of the group modulo torsion |
j |
-215474070728/3645 |
j-invariant |
L |
5.9902124495259 |
L(r)(E,1)/r! |
Ω |
0.38157510643988 |
Real period |
R |
1.3082204849615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560t1 23520f1 70560ea1 |
Quadratic twists by: -4 -3 -7 |