Atkin-Lehner |
2+ 5- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950g |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75840 |
Modular degree for the optimal curve |
Δ |
-75636718750 = -1 · 2 · 59 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 3 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1701,-30202] |
[a1,a2,a3,a4,a6] |
j |
-278445077/38726 |
j-invariant |
L |
1.4755110530423 |
L(r)(E,1)/r! |
Ω |
0.36887776253614 |
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 |
56950v1 |
Quadratic twists by: 5 |