Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070f |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
148049501600 = 25 · 52 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108659,-13795218] |
[a1,a2,a3,a4,a6] |
Generators |
[410:3053:1] |
Generators of the group modulo torsion |
j |
1205943158724121/1258400 |
j-invariant |
L |
2.3411958620738 |
L(r)(E,1)/r! |
Ω |
0.26295633296286 |
Real period |
R |
4.4516818330795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1430c2 |
Quadratic twists by: -7 |