Atkin-Lehner |
3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bg |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-363582741957435 = -1 · 36 · 5 · 78 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23585,-1661059] |
[a1,a2,a3,a4,a6] |
j |
-12332795428864/3090402315 |
j-invariant |
L |
2.2814079906936 |
L(r)(E,1)/r! |
Ω |
0.19011731381954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015n1 |
Quadratic twists by: -7 |