Atkin-Lehner |
2+ 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950o |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1300950 = -1 · 2 · 32 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-206,1118] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:49:1] [6:7:1] |
Generators of the group modulo torsion |
j |
-38401771585/52038 |
j-invariant |
L |
8.6026444826902 |
L(r)(E,1)/r! |
Ω |
2.7115079529045 |
Real period |
R |
0.79316054314809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950bx1 |
Quadratic twists by: 5 |