Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39208i |
Isogeny class |
Conductor |
39208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
78727803345152 = 28 · 139 · 29 |
Discriminant |
Eigenvalues |
2- -2 0 4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18308,846496] |
[a1,a2,a3,a4,a6] |
Generators |
[40:424:1] |
Generators of the group modulo torsion |
j |
250000/29 |
j-invariant |
L |
4.6995476356365 |
L(r)(E,1)/r! |
Ω |
0.59026465608063 |
Real period |
R |
3.9808817851645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78416i1 39208c1 |
Quadratic twists by: -4 13 |