Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325i |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-99376083984375 = -1 · 39 · 510 · 11 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1645,478522] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1205:1] |
Generators of the group modulo torsion |
j |
1601613/323125 |
j-invariant |
L |
4.7385610482594 |
L(r)(E,1)/r! |
Ω |
0.46237736997516 |
Real period |
R |
5.1241273266172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325b1 23265j1 |
Quadratic twists by: -3 5 |