Atkin-Lehner |
3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045t |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-54729675 = -1 · 37 · 52 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11- 13- -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,378] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:131:8] [-4:22:1] |
Generators of the group modulo torsion |
j |
-16777216/75075 |
j-invariant |
L |
7.45192401915 |
L(r)(E,1)/r! |
Ω |
1.7304342946978 |
Real period |
R |
0.5382986833119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015s1 |
Quadratic twists by: -3 |