Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cq |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6462720 |
Modular degree for the optimal curve |
Δ |
-6.3417684604716E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -6 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53481280,-150526665728] |
[a1,a2,a3,a4,a6] |
Generators |
[11432469371232:4534491130600960:72511713] |
Generators of the group modulo torsion |
j |
-2048707405729/76800 |
j-invariant |
L |
4.4967788192761 |
L(r)(E,1)/r! |
Ω |
0.027913746704684 |
Real period |
R |
20.136936770125 |
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 |
8670z1 69360di1 |
Quadratic twists by: -4 17 |