Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7050y |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
35690625000 = 23 · 35 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1263,-15219] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] |
Generators of the group modulo torsion |
j |
570420625/91368 |
j-invariant |
L |
4.9482713670767 |
L(r)(E,1)/r! |
Ω |
0.80951155524826 |
Real period |
R |
0.67918478261447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400df1 21150bi1 7050i1 |
Quadratic twists by: -4 -3 5 |