Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400o |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
-1144000000000 = -1 · 212 · 59 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 13- -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1000,50000] |
[a1,a2,a3,a4,a6] |
Generators |
[-600:3500:27] |
Generators of the group modulo torsion |
j |
13824/143 |
j-invariant |
L |
7.1456920729926 |
L(r)(E,1)/r! |
Ω |
0.63865880874323 |
Real period |
R |
2.7971476928507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400s1 114400bb1 |
Quadratic twists by: -4 5 |