Atkin-Lehner |
2- 3+ 43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
125904h |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
285045356461215744 = 212 · 315 · 433 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 -4 1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-339397,71751661] |
[a1,a2,a3,a4,a6] |
Generators |
[204:3311:1] |
Generators of the group modulo torsion |
j |
1055574867213733888/69591151479789 |
j-invariant |
L |
3.1927332320449 |
L(r)(E,1)/r! |
Ω |
0.30269694337072 |
Real period |
R |
3.5158744625231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996016018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7869e1 |
Quadratic twists by: -4 |