Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400h |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-1859000000000 = -1 · 29 · 59 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ 5 11- 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,65812] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-250:1] |
Generators of the group modulo torsion |
j |
-941192/232375 |
j-invariant |
L |
7.0870086273743 |
L(r)(E,1)/r! |
Ω |
0.6794069344456 |
Real period |
R |
0.65194807119205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999716569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400b1 22880e1 |
Quadratic twists by: -4 5 |