Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416j |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-2.8592251655689E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 -1 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-499280,290736372] |
[a1,a2,a3,a4,a6] |
Generators |
[-818:12348:1] |
Generators of the group modulo torsion |
j |
-6720895431401588642/13961060378754237 |
j-invariant |
L |
5.791715292995 |
L(r)(E,1)/r! |
Ω |
0.18677422390011 |
Real period |
R |
0.059633036038996 |
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 |
5208i1 41664co1 31248q1 72912o1 |
Quadratic twists by: -4 8 -3 -7 |