Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63800k |
Isogeny class |
Conductor |
63800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-22585449218750000 = -1 · 24 · 516 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51050,5707125] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:279:1] |
Generators of the group modulo torsion |
j |
58853316704256/90341796875 |
j-invariant |
L |
5.4781224232276 |
L(r)(E,1)/r! |
Ω |
0.25904347054435 |
Real period |
R |
5.286875607725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127600b1 12760a1 |
Quadratic twists by: -4 5 |