Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bh |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
172339200 |
Modular degree for the optimal curve |
Δ |
-3.1163748345446E+31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2763199437,-262701550936719] |
[a1,a2,a3,a4,a6] |
Generators |
[32437539:184728666222:1] |
Generators of the group modulo torsion |
j |
149327701830509856553358737559/1994479894108569600000000000 |
j-invariant |
L |
9.0301293634083 |
L(r)(E,1)/r! |
Ω |
0.010219991823153 |
Real period |
R |
11.044687607874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730f1 |
Quadratic twists by: 5 |