Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ca |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1247178944000000 = -1 · 212 · 56 · 117 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-378504133,-2834227585363] |
[a1,a2,a3,a4,a6] |
Generators |
[5625343245097220929458784170943509409698764621364:-2522310991385159973575423413312849908911761313764897:27713473522334259155289460948776428173951269] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
5.2002206139017 |
L(r)(E,1)/r! |
Ω |
0.017114014767647 |
Real period |
R |
75.964358517039 |
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 |
3025g3 1936g3 4400m3 |
Quadratic twists by: -4 5 -11 |