Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336bb |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-4.3607683319164E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -5 2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4574725,-3777985811] |
[a1,a2,a3,a4,a6] |
Generators |
[554306970514100:65901931919715387:38306833811] |
Generators of the group modulo torsion |
j |
-2584989816536277323776/10646407060342731 |
j-invariant |
L |
3.5952137273409 |
L(r)(E,1)/r! |
Ω |
0.051602561711867 |
Real period |
R |
17.417806442514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3021b1 |
Quadratic twists by: -4 |