Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80724g |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
736560 |
Modular degree for the optimal curve |
Δ |
-224671968646857984 = -1 · 28 · 3 · 73 · 318 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 0 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188676,38987592] |
[a1,a2,a3,a4,a6] |
Generators |
[641:13454:1] |
Generators of the group modulo torsion |
j |
-3402064/1029 |
j-invariant |
L |
5.7476312009943 |
L(r)(E,1)/r! |
Ω |
0.29777543669322 |
Real period |
R |
0.71488512309083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80724r1 |
Quadratic twists by: -31 |