Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3038h |
Isogeny class |
Conductor |
3038 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-13071274496 = -1 · 29 · 77 · 31 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-197,-5685] |
[a1,a2,a3,a4,a6] |
Generators |
[27:84:1] |
Generators of the group modulo torsion |
j |
-7189057/111104 |
j-invariant |
L |
3.5514187637799 |
L(r)(E,1)/r! |
Ω |
0.54054010086191 |
Real period |
R |
0.18250361269924 |
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 |
24304v1 97216h1 27342k1 75950j1 |
Quadratic twists by: -4 8 -3 5 |