Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640k |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-252599914122393600 = -1 · 211 · 32 · 52 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26080,24244000] |
[a1,a2,a3,a4,a6] |
Generators |
[770:21450:1] |
Generators of the group modulo torsion |
j |
-957928673903042/123339801817575 |
j-invariant |
L |
5.484077711218 |
L(r)(E,1)/r! |
Ω |
0.25526181009472 |
Real period |
R |
5.3710323032493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320bb6 115920q5 |
Quadratic twists by: -4 -3 |