Atkin-Lehner |
3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21285f |
Isogeny class |
Conductor |
21285 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
310800 |
Modular degree for the optimal curve |
Δ |
29170665855478125 = 36 · 55 · 115 · 433 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 11- 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-220113,38889443] |
[a1,a2,a3,a4,a6] |
Generators |
[866:32325:8] |
Generators of the group modulo torsion |
j |
1617831409433849856/40014630803125 |
j-invariant |
L |
9.9280119593985 |
L(r)(E,1)/r! |
Ω |
0.37200933010932 |
Real period |
R |
5.3375069686995 |
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 |
2365c1 106425u1 |
Quadratic twists by: -3 5 |