Atkin-Lehner |
2- 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070bz |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-8619255796098787840 = -1 · 29 · 5 · 78 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,496320,-42680863] |
[a1,a2,a3,a4,a6] |
j |
114926649504265871/73262465436160 |
j-invariant |
L |
4.7914921090743 |
L(r)(E,1)/r! |
Ω |
0.13309700341167 |
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 |
10010s2 |
Quadratic twists by: -7 |