Atkin-Lehner |
2- 5+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bo |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
3446150400 |
Modular degree for the optimal curve |
Δ |
2.3191809101033E+29 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 11+ 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4595272746255,3791536012668333247] |
[a1,a2,a3,a4,a6] |
Generators |
[1199582642511:1905363532970:970299] |
Generators of the group modulo torsion |
j |
686811512775318594048014305790220171129/14842757824661219713975000 |
j-invariant |
L |
20.40744315275 |
L(r)(E,1)/r! |
Ω |
0.016329671637311 |
Real period |
R |
9.4675413872405 |
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 |
24310c1 |
Quadratic twists by: 5 |