Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38280m |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
723840 |
Modular degree for the optimal curve |
Δ |
-1.172444625E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-218520,-169441632] |
[a1,a2,a3,a4,a6] |
Generators |
[5556:412500:1] |
Generators of the group modulo torsion |
j |
-1126936170713293924/11449654541015625 |
j-invariant |
L |
8.2061958713598 |
L(r)(E,1)/r! |
Ω |
0.095992634849945 |
Real period |
R |
0.2191993990807 |
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 |
76560e1 114840s1 |
Quadratic twists by: -4 -3 |