Atkin-Lehner |
2- 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38456c |
Isogeny class |
Conductor |
38456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
70272 |
Modular degree for the optimal curve |
Δ |
-235348335728 = -1 · 24 · 116 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -3 -2 -2 11- -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1469,-8669] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] [25:-209:1] |
Generators of the group modulo torsion |
j |
21911349028608/14709270983 |
j-invariant |
L |
4.4004517105057 |
L(r)(E,1)/r! |
Ω |
0.56284206331943 |
Real period |
R |
0.32576128643104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76912b1 |
Quadratic twists by: -4 |