Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620q |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
8164800 |
Modular degree for the optimal curve |
Δ |
-5.844790421619E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17492085,30472218225] |
[a1,a2,a3,a4,a6] |
Generators |
[135:167670:1] |
Generators of the group modulo torsion |
j |
-8185177630572544/808255330875 |
j-invariant |
L |
5.6780159269365 |
L(r)(E,1)/r! |
Ω |
0.10856800693906 |
Real period |
R |
0.9685030244503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620w1 |
Quadratic twists by: -7 |