Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
70560b |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-11619182395699200 = -1 · 212 · 39 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74088,-9335088] |
[a1,a2,a3,a4,a6] |
Generators |
[441:6615:1] |
Generators of the group modulo torsion |
j |
-96768/25 |
j-invariant |
L |
4.6507825261273 |
L(r)(E,1)/r! |
Ω |
0.14275485063327 |
Real period |
R |
1.3574502327052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560ca1 70560cj1 70560p1 |
Quadratic twists by: -4 -3 -7 |