Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952l |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1728057024470448 = -1 · 24 · 33 · 712 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2646,2000719] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:442:1] |
Generators of the group modulo torsion |
j |
-40310784/34000561 |
j-invariant |
L |
6.0878268724381 |
L(r)(E,1)/r! |
Ω |
0.38115947455634 |
Real period |
R |
3.9929657203453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976f1 119952g1 17136a1 |
Quadratic twists by: -4 -3 -7 |