Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560ch |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-488117230272000000 = -1 · 212 · 33 · 56 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,172872,19092752] |
[a1,a2,a3,a4,a6] |
Generators |
[1376:53500:1] |
Generators of the group modulo torsion |
j |
18289152/15625 |
j-invariant |
L |
6.0287310448216 |
L(r)(E,1)/r! |
Ω |
0.19131291690366 |
Real period |
R |
3.9390512295589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560cf1 70560o1 70560cl1 |
Quadratic twists by: -4 -3 -7 |