Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688c |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1346141541065472 = -1 · 28 · 33 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 5 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-970497,368320797] |
[a1,a2,a3,a4,a6] |
Generators |
[39619684:758670601:103823] |
Generators of the group modulo torsion |
j |
-83131122688/1107 |
j-invariant |
L |
8.7015285708923 |
L(r)(E,1)/r! |
Ω |
0.4390067649999 |
Real period |
R |
9.9104720705474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40344b1 1968c1 |
Quadratic twists by: -4 41 |