Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980z |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-16694496000 = -1 · 28 · 32 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9325,-349777] |
[a1,a2,a3,a4,a6] |
j |
-2072956248064/385875 |
j-invariant |
L |
4.3724124536323 |
L(r)(E,1)/r! |
Ω |
0.24291180319162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70980t2 |
Quadratic twists by: 13 |