Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240ca |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
18859737600000 = 212 · 33 · 55 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8581,-226381] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:165:1] |
Generators of the group modulo torsion |
j |
17061927030784/4604428125 |
j-invariant |
L |
9.3053396774645 |
L(r)(E,1)/r! |
Ω |
0.50605302185272 |
Real period |
R |
2.0431191667786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6765b1 |
Quadratic twists by: -4 |