Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050di |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-63236047877683200 = -1 · 211 · 39 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52760,-12953573] |
[a1,a2,a3,a4,a6] |
j |
-6838155/26624 |
j-invariant |
L |
6.3318561936378 |
L(r)(E,1)/r! |
Ω |
0.14390582300146 |
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 |
76050e1 76050s1 5850d1 |
Quadratic twists by: -3 5 13 |