Atkin-Lehner |
2+ 3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610bh |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
648960 |
Modular degree for the optimal curve |
Δ |
-621391034028960 = -1 · 25 · 32 · 5 · 138 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4897,1192466] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1969:1] |
Generators of the group modulo torsion |
j |
15925559/761760 |
j-invariant |
L |
5.1813926391023 |
L(r)(E,1)/r! |
Ω |
0.38997609893525 |
Real period |
R |
3.3216090905577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610ci1 |
Quadratic twists by: 13 |