Atkin-Lehner |
3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27825u |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
14676098431640625 = 310 · 59 · 74 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-341513,76567392] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:9199:1] |
Generators of the group modulo torsion |
j |
2255357919036221/7514162397 |
j-invariant |
L |
3.6678156106574 |
L(r)(E,1)/r! |
Ω |
0.39641885880455 |
Real period |
R |
0.92523741724048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83475bk1 27825g1 |
Quadratic twists by: -3 5 |