Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090p |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-1161195630 = -1 · 2 · 3 · 5 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -1 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,1712] |
[a1,a2,a3,a4,a6] |
Generators |
[18:64:1] |
Generators of the group modulo torsion |
j |
-1771561/9870 |
j-invariant |
L |
4.2953579937191 |
L(r)(E,1)/r! |
Ω |
1.333840040169 |
Real period |
R |
0.80507367124187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9870c1 |
Quadratic twists by: -7 |