Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bj |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-20661046784000 = -1 · 212 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 3 3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2154040,1216826800] |
[a1,a2,a3,a4,a6] |
Generators |
[980:6860:1] |
Generators of the group modulo torsion |
j |
-53497400832 |
j-invariant |
L |
3.5105666361903 |
L(r)(E,1)/r! |
Ω |
0.48995271233365 |
Real period |
R |
0.89563914736496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200bi1 78400lh1 39200cz1 39200bh1 |
Quadratic twists by: -4 8 5 -7 |