Atkin-Lehner |
2+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51040c |
Isogeny class |
Conductor |
51040 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
363776 |
Modular degree for the optimal curve |
Δ |
-180840946880000000 = -1 · 212 · 57 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 11+ 1 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139315,4293275] |
[a1,a2,a3,a4,a6] |
j |
73005282300368384/44150621796875 |
j-invariant |
L |
2.7529359389964 |
L(r)(E,1)/r! |
Ω |
0.19663828140167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51040g1 102080bj1 |
Quadratic twists by: -4 8 |