Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450bf |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-2.0448141375699E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4206024,-6025457402] |
[a1,a2,a3,a4,a6] |
Generators |
[3992:270741:1] |
Generators of the group modulo torsion |
j |
526646344431378309263/1308681048044740608 |
j-invariant |
L |
5.5873638724175 |
L(r)(E,1)/r! |
Ω |
0.062698502692666 |
Real period |
R |
4.950821641543 |
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 |
91350ex1 1218d1 |
Quadratic twists by: -3 5 |