Atkin-Lehner |
2+ 5- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
13490b |
Isogeny class |
Conductor |
13490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12928 |
Modular degree for the optimal curve |
Δ |
-119723750 = -1 · 2 · 54 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 2 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-679,7003] |
[a1,a2,a3,a4,a6] |
Generators |
[37:159:1] |
Generators of the group modulo torsion |
j |
-34649164377801/119723750 |
j-invariant |
L |
2.5255969724937 |
L(r)(E,1)/r! |
Ω |
1.8717576535247 |
Real period |
R |
0.16866479534208 |
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 |
107920n1 121410s1 67450n1 |
Quadratic twists by: -4 -3 5 |