Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45024a |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
54298944 = 26 · 33 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-274,1804] |
[a1,a2,a3,a4,a6] |
Generators |
[12:10:1] |
Generators of the group modulo torsion |
j |
35676273088/848421 |
j-invariant |
L |
3.800372548045 |
L(r)(E,1)/r! |
Ω |
1.9872726774701 |
Real period |
R |
1.9123558589319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024f1 90048bu2 |
Quadratic twists by: -4 8 |