Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
70560a |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-3024568512000000 = -1 · 212 · 39 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31752,1502928] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:3375:8] |
Generators of the group modulo torsion |
j |
18289152/15625 |
j-invariant |
L |
6.0760753115112 |
L(r)(E,1)/r! |
Ω |
0.29223530771127 |
Real period |
R |
2.5989652645182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560c1 70560cl1 70560o1 |
Quadratic twists by: -4 -3 -7 |