Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400en |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
6488552787148800 = 218 · 316 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -5 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53153,2670783] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:2592:1] |
Generators of the group modulo torsion |
j |
2534167381585/990074583 |
j-invariant |
L |
10.694855255107 |
L(r)(E,1)/r! |
Ω |
0.38459173032324 |
Real period |
R |
0.4345052190633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999597276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400gf1 1725e1 110400cd1 |
Quadratic twists by: -4 8 5 |