Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600d |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
-4.031987800898E+21 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -4 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-696008,-3063442012] |
[a1,a2,a3,a4,a6] |
Generators |
[1837979953144:18303560317250:1115157653] |
Generators of the group modulo torsion |
j |
-1156/125 |
j-invariant |
L |
9.0071674634572 |
L(r)(E,1)/r! |
Ω |
0.061594675530353 |
Real period |
R |
18.279111355613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800c1 23120k1 115600p1 |
Quadratic twists by: -4 5 17 |