Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045bj |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-1552036339368189675 = -1 · 321 · 52 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-659532,-214695450] |
[a1,a2,a3,a4,a6] |
Generators |
[16642:688901:8] |
Generators of the group modulo torsion |
j |
-43521494458218840064/2128993606815075 |
j-invariant |
L |
5.4438008100183 |
L(r)(E,1)/r! |
Ω |
0.083526373540216 |
Real period |
R |
2.7156097426157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015m1 |
Quadratic twists by: -3 |