Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
70560cj |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-15938521804800 = -1 · 212 · 33 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8232,345744] |
[a1,a2,a3,a4,a6] |
Generators |
[0:588:1] |
Generators of the group modulo torsion |
j |
-96768/25 |
j-invariant |
L |
7.0161730481592 |
L(r)(E,1)/r! |
Ω |
0.6633132878726 |
Real period |
R |
0.44072770591096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560j1 70560b1 70560ce1 |
Quadratic twists by: -4 -3 -7 |