Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
104580i |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
105887250000 = 24 · 36 · 56 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1368,-11583] |
[a1,a2,a3,a4,a6] |
Generators |
[72:513:1] |
Generators of the group modulo torsion |
j |
24273616896/9078125 |
j-invariant |
L |
7.1798446133043 |
L(r)(E,1)/r! |
Ω |
0.80989176369933 |
Real period |
R |
2.9550634301887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11620f1 |
Quadratic twists by: -3 |