Atkin-Lehner |
2- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
46900d |
Isogeny class |
Conductor |
46900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-9819687500000000 = -1 · 28 · 513 · 7 · 672 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 1 -5 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20800,-4905500] |
[a1,a2,a3,a4,a6] |
Generators |
[280:3350:1] |
Generators of the group modulo torsion |
j |
-248801918976/2454921875 |
j-invariant |
L |
2.8279508192271 |
L(r)(E,1)/r! |
Ω |
0.17310638001131 |
Real period |
R |
1.3613742500639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9380c1 |
Quadratic twists by: 5 |