Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140i |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-1.1085424035154E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2979117,1985625549] |
[a1,a2,a3,a4,a6] |
Generators |
[933:4275:1] |
Generators of the group modulo torsion |
j |
-250691079491614289664/950396436484375 |
j-invariant |
L |
6.9621117607686 |
L(r)(E,1)/r! |
Ω |
0.22830266363786 |
Real period |
R |
0.14521474527838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6460b1 |
Quadratic twists by: -3 |