Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045be |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
15248990021265 = 314 · 5 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-598028,178153526] |
[a1,a2,a3,a4,a6] |
Generators |
[448:-179:1] |
Generators of the group modulo torsion |
j |
32445917389944971641/20917681785 |
j-invariant |
L |
3.2961114689347 |
L(r)(E,1)/r! |
Ω |
0.57823066753602 |
Real period |
R |
0.9500566855659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015w1 |
Quadratic twists by: -3 |