Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fc |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
2486867443200 = 29 · 37 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37580,2812367] |
[a1,a2,a3,a4,a6] |
Generators |
[105:73:1] |
Generators of the group modulo torsion |
j |
322044338070625/136453632 |
j-invariant |
L |
10.806589634217 |
L(r)(E,1)/r! |
Ω |
0.80082566376154 |
Real period |
R |
0.1874209699937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850bm1 116550ci1 |
Quadratic twists by: -3 5 |