Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070bc |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
73896825768095330 = 2 · 5 · 77 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230383,-40445163] |
[a1,a2,a3,a4,a6] |
Generators |
[160242:2947775:216] |
Generators of the group modulo torsion |
j |
11494365229496241/628112655170 |
j-invariant |
L |
7.4877737466439 |
L(r)(E,1)/r! |
Ω |
0.21865680997316 |
Real period |
R |
8.561102837346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000008434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010x4 |
Quadratic twists by: -7 |