Atkin-Lehner |
2- 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070bz |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
130433441339801600 = 218 · 52 · 77 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-130880,-5550623] |
[a1,a2,a3,a4,a6] |
j |
2107441550633329/1108665958400 |
j-invariant |
L |
4.7914921090743 |
L(r)(E,1)/r! |
Ω |
0.26619400682333 |
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 |
10010s1 |
Quadratic twists by: -7 |