Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
91980i |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
39427410960 = 24 · 39 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1917,30861] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-189:1] |
Generators of the group modulo torsion |
j |
2473880832/125195 |
j-invariant |
L |
8.0958678099016 |
L(r)(E,1)/r! |
Ω |
1.134942024853 |
Real period |
R |
0.39629375286784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91980e1 |
Quadratic twists by: -3 |