Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015m |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-2128993606815075 = -1 · 315 · 52 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-73281,7927256] |
[a1,a2,a3,a4,a6] |
Generators |
[162:577:1] |
Generators of the group modulo torsion |
j |
-43521494458218840064/2128993606815075 |
j-invariant |
L |
4.6025849678718 |
L(r)(E,1)/r! |
Ω |
0.45869398902755 |
Real period |
R |
0.33447026252582 |
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 |
45045bj1 75075i1 105105bf1 |
Quadratic twists by: -3 5 -7 |