Atkin-Lehner |
2+ 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950n |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30208 |
Modular degree for the optimal curve |
Δ |
-2788192000 = -1 · 28 · 53 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2372,45136] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:203:1] [24:28:1] |
Generators of the group modulo torsion |
j |
-11810294803917/22305536 |
j-invariant |
L |
6.903594222304 |
L(r)(E,1)/r! |
Ω |
1.4349385696999 |
Real period |
R |
2.4055365045167 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48950y1 |
Quadratic twists by: 5 |