Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288x |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.8604190600952E+22 |
Discriminant |
Eigenvalues |
2- 2 2 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6339408,-11004953140] |
[a1,a2,a3,a4,a6] |
Generators |
[40969761460969004451449075750402909630833834428962894604339124013487405:3358678999291635775809334483502643082282084243682126319332505194562610520:6864435329907081291878638939479174435924798232917886537411627581321] |
Generators of the group modulo torsion |
j |
986078/2401 |
j-invariant |
L |
12.655396626329 |
L(r)(E,1)/r! |
Ω |
0.056732469056535 |
Real period |
R |
111.53574696103 |
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 |
16184b2 113288z2 |
Quadratic twists by: -7 17 |