Atkin-Lehner |
3+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045h |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-37927664775 = -1 · 39 · 52 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,9424] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-97:1] |
Generators of the group modulo torsion |
j |
-14348907/1926925 |
j-invariant |
L |
3.3475533815492 |
L(r)(E,1)/r! |
Ω |
0.94498021498786 |
Real period |
R |
0.88561467437826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45045d1 |
Quadratic twists by: -3 |