Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560dk |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3202537147814592000 = 29 · 311 · 53 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142891203,657440340298] |
[a1,a2,a3,a4,a6] |
j |
7347751505995469192/72930375 |
j-invariant |
L |
0.70431153507212 |
L(r)(E,1)/r! |
Ω |
0.17607788995102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560y4 23520u4 10080by2 |
Quadratic twists by: -4 -3 -7 |