Atkin-Lehner |
2+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29890c |
Isogeny class |
Conductor |
29890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
125590307500 = 22 · 54 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -1 0 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2574,-47484] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:63:1] [-24:36:1] |
Generators of the group modulo torsion |
j |
16022066761/1067500 |
j-invariant |
L |
6.7955708966344 |
L(r)(E,1)/r! |
Ω |
0.67310376140031 |
Real period |
R |
0.63099213731343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4270b1 |
Quadratic twists by: -7 |