Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cv |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-1038308407320751875 = -1 · 39 · 54 · 78 · 114 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5776513,5343501092] |
[a1,a2,a3,a4,a6] |
Generators |
[1523:8132:1] |
Generators of the group modulo torsion |
j |
-5916387959190625/288178803 |
j-invariant |
L |
4.5680581637348 |
L(r)(E,1)/r! |
Ω |
0.26096257036111 |
Real period |
R |
0.32416016435527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275fd1 40425d1 40425bh1 |
Quadratic twists by: -3 5 -7 |