Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220bb |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-4910226899760 = -1 · 24 · 32 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3659,-62896] |
[a1,a2,a3,a4,a6] |
Generators |
[30664:313389:512] |
Generators of the group modulo torsion |
j |
8388608/7605 |
j-invariant |
L |
6.9403422576727 |
L(r)(E,1)/r! |
Ω |
0.42187305034469 |
Real period |
R |
8.2256288378721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660bz1 38220n1 |
Quadratic twists by: -3 -7 |