Atkin-Lehner |
2+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646q |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-14180749978514 = -1 · 2 · 77 · 172 · 313 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25849,1607638] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:848:1] [116:358:1] |
Generators of the group modulo torsion |
j |
-16234636151161/120534386 |
j-invariant |
L |
8.081614657551 |
L(r)(E,1)/r! |
Ω |
0.70777754872119 |
Real period |
R |
0.47576239833138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378i1 |
Quadratic twists by: -7 |