Atkin-Lehner |
2+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600d |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-4477484000000 = -1 · 28 · 56 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11+ 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3433,-126763] |
[a1,a2,a3,a4,a6] |
Generators |
[39812:987479:64] |
Generators of the group modulo torsion |
j |
-1118952448/1119371 |
j-invariant |
L |
4.5440678146014 |
L(r)(E,1)/r! |
Ω |
0.29975021784376 |
Real period |
R |
7.5797573974492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998953028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63800m1 5104a1 |
Quadratic twists by: -4 5 |