Atkin-Lehner |
2- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450be |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
330240 |
Modular degree for the optimal curve |
Δ |
5272034047806500 = 22 · 53 · 135 · 734 |
Discriminant |
Eigenvalues |
2- 0 5- -4 2 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56440,-3784713] |
[a1,a2,a3,a4,a6] |
Generators |
[2145:97623:1] |
Generators of the group modulo torsion |
j |
159062388824930661/42176272382452 |
j-invariant |
L |
6.8697991020483 |
L(r)(E,1)/r! |
Ω |
0.31586199863766 |
Real period |
R |
1.0874684405968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47450l1 |
Quadratic twists by: 5 |