Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045bc |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
-1251485235 = -1 · 36 · 5 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-671103,211607903] |
[a1,a2,a3,a4,a6] |
Generators |
[3762:815:8] |
Generators of the group modulo torsion |
j |
-45852574428123549696/1716715 |
j-invariant |
L |
11.281058508191 |
L(r)(E,1)/r! |
Ω |
0.82074122873575 |
Real period |
R |
1.7181204795745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5005f1 |
Quadratic twists by: -3 |