Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690j |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.5311777232965E+25 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11- 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6655126568,-208971927786112] |
[a1,a2,a3,a4,a6] |
Generators |
[-11320247054260047495348441929302074986572770969694182395566348279228522218:2310851155158194653356869551621828568948409076775583094770584028755288483:240328849617712167139051541820099905151193112520847993073025345609384] |
Generators of the group modulo torsion |
j |
18400793829905200527581279329/19932577671875000000 |
j-invariant |
L |
7.3984390300308 |
L(r)(E,1)/r! |
Ω |
0.016715158652076 |
Real period |
R |
110.65463367756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790i2 |
Quadratic twists by: -11 |