Atkin-Lehner |
2+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600j |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
79500781250000 = 24 · 511 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23383,-1315512] |
[a1,a2,a3,a4,a6] |
j |
5655916189696/318003125 |
j-invariant |
L |
1.5497199509022 |
L(r)(E,1)/r! |
Ω |
0.38742992409641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63800h1 25520g1 |
Quadratic twists by: -4 5 |