Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015n |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-3090402315 = -1 · 36 · 5 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-481,4705] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:94:1] |
Generators of the group modulo torsion |
j |
-12332795428864/3090402315 |
j-invariant |
L |
4.5629584959918 |
L(r)(E,1)/r! |
Ω |
1.3535734289035 |
Real period |
R |
0.84276153745278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45045bk1 75075j1 105105bg1 |
Quadratic twists by: -3 5 -7 |