Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045bm |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-5.9204706597714E+19 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11+ 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-99867,370399095] |
[a1,a2,a3,a4,a6] |
Generators |
[-3950:138407:8] |
Generators of the group modulo torsion |
j |
-151099210615066624/81213589297275435 |
j-invariant |
L |
13.782531330006 |
L(r)(E,1)/r! |
Ω |
0.16009782146178 |
Real period |
R |
1.5372890689291 |
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 |
15015p1 |
Quadratic twists by: -3 |