Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560p |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-98761420800 = -1 · 212 · 39 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1512,27216] |
[a1,a2,a3,a4,a6] |
Generators |
[72:540:1] |
Generators of the group modulo torsion |
j |
-96768/25 |
j-invariant |
L |
7.1593432618627 |
L(r)(E,1)/r! |
Ω |
1.0132277837154 |
Real period |
R |
0.88323467042937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560cn1 70560ce1 70560b1 |
Quadratic twists by: -4 -3 -7 |