Atkin-Lehner |
2- 3+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240m |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
354229200 = 24 · 34 · 52 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195,-468] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:15:1] [-3:9:1] |
Generators of the group modulo torsion |
j |
51514894336/22139325 |
j-invariant |
L |
7.7506132069728 |
L(r)(E,1)/r! |
Ω |
1.3276848279542 |
Real period |
R |
1.4594226437978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480p1 |
Quadratic twists by: -4 |