Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5950g |
Isogeny class |
Conductor |
5950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-893668991172608000 = -1 · 221 · 53 · 74 · 175 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -2 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59220,-45844400] |
[a1,a2,a3,a4,a6] |
j |
-183751277422644413/7149351929380864 |
j-invariant |
L |
0.4896543212595 |
L(r)(E,1)/r! |
Ω |
0.12241358031487 |
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 |
47600bm1 53550eh1 5950s1 41650bb1 |
Quadratic twists by: -4 -3 5 -7 |