Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990c |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-1909682395121970 = -1 · 2 · 33 · 5 · 713 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30765,-334449] |
[a1,a2,a3,a4,a6] |
Generators |
[525:12399:1] |
Generators of the group modulo torsion |
j |
119267678422756053/70728977597110 |
j-invariant |
L |
3.2191081259299 |
L(r)(E,1)/r! |
Ω |
0.27375546146618 |
Real period |
R |
5.8795322450987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990bp1 |
Quadratic twists by: -3 |