Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560l |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1992315225600 = -1 · 29 · 33 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,67914] |
[a1,a2,a3,a4,a6] |
Generators |
[378:7350:1] |
Generators of the group modulo torsion |
j |
-216/1225 |
j-invariant |
L |
7.1788588870561 |
L(r)(E,1)/r! |
Ω |
0.66453219622476 |
Real period |
R |
2.7007189900689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560k2 70560cc2 10080d2 |
Quadratic twists by: -4 -3 -7 |