Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7050d |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-29603232000000000 = -1 · 214 · 39 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-190200,32904000] |
[a1,a2,a3,a4,a6] |
j |
-389608818861653/15156854784 |
j-invariant |
L |
1.4785975211256 |
L(r)(E,1)/r! |
Ω |
0.3696493802814 |
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 |
56400di1 21150cq1 7050bj1 |
Quadratic twists by: -4 -3 5 |