Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51700h |
Isogeny class |
Conductor |
51700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-97196000000 = -1 · 28 · 56 · 11 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11- 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239533,-45043063] |
[a1,a2,a3,a4,a6] |
j |
-379980749676544/24299 |
j-invariant |
L |
0.21580329117161 |
L(r)(E,1)/r! |
Ω |
0.10790164552156 |
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 |
2068c1 |
Quadratic twists by: 5 |