Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336i |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
403148534784 = 210 · 3 · 195 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 0 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2440,-34112] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:76:1] [-16:24:1] |
Generators of the group modulo torsion |
j |
1569535748644/393699741 |
j-invariant |
L |
8.3939627055505 |
L(r)(E,1)/r! |
Ω |
0.69177064115432 |
Real period |
R |
0.6067012826349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168n1 |
Quadratic twists by: -4 |