Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2415d |
Isogeny class |
Conductor |
2415 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-5325075 = -1 · 33 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21,110] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] |
Generators of the group modulo torsion |
j |
-1073741824/5325075 |
j-invariant |
L |
3.0696083042766 |
L(r)(E,1)/r! |
Ω |
2.0955317734724 |
Real period |
R |
0.73241750450535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38640bl1 7245u1 12075g1 16905j1 |
Quadratic twists by: -4 -3 5 -7 |