Atkin-Lehner |
5+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
42925c |
Isogeny class |
Conductor |
42925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
4845830078125 = 510 · 173 · 101 |
Discriminant |
Eigenvalues |
2 3 5+ 3 -5 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7825,-244469] |
[a1,a2,a3,a4,a6] |
Generators |
[-5068010743194:-666565031467:80957957976] |
Generators of the group modulo torsion |
j |
3391225933824/310133125 |
j-invariant |
L |
21.325716195689 |
L(r)(E,1)/r! |
Ω |
0.51057887009144 |
Real period |
R |
20.883860892902 |
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 |
8585b1 |
Quadratic twists by: 5 |