Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bi |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
38519193600 = 214 · 37 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,15568] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:144:1] [-16:180:1] |
Generators of the group modulo torsion |
j |
20720464/3225 |
j-invariant |
L |
10.852951167015 |
L(r)(E,1)/r! |
Ω |
1.1029054292583 |
Real period |
R |
1.2300409985494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840fd1 15480g1 41280bl1 |
Quadratic twists by: -4 8 -3 |