Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405n |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
34151040 |
Modular degree for the optimal curve |
Δ |
-1.125115910798E+25 |
Discriminant |
Eigenvalues |
1 3 5- 7- 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2040079729,-35466397333522] |
[a1,a2,a3,a4,a6] |
Generators |
[2330592924873108687006166737218859402:-593052461718784421205642945058216162826:25568993305108797336901548103581] |
Generators of the group modulo torsion |
j |
-688691336801860161/8251953125 |
j-invariant |
L |
13.151573766682 |
L(r)(E,1)/r! |
Ω |
0.011232009487881 |
Real period |
R |
53.222783351587 |
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 |
41405b1 3185c1 |
Quadratic twists by: -7 13 |