Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224v |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
104835527313656832 = 210 · 33 · 72 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10193744,-12530435580] |
[a1,a2,a3,a4,a6] |
Generators |
[-117980:6195:64] |
Generators of the group modulo torsion |
j |
114399721284067149505348/102378444642243 |
j-invariant |
L |
5.9443997208342 |
L(r)(E,1)/r! |
Ω |
0.08449210766238 |
Real period |
R |
5.8628747371424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112n4 |
Quadratic twists by: -4 |