Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800bj |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-193500000000 = -1 · 28 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1292,-10912] |
[a1,a2,a3,a4,a6] |
Generators |
[62:558:1] |
Generators of the group modulo torsion |
j |
476656/387 |
j-invariant |
L |
6.7303963638611 |
L(r)(E,1)/r! |
Ω |
0.55828584747011 |
Real period |
R |
3.0138666394465 |
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 |
51600q1 77400t1 25800e1 |
Quadratic twists by: -4 -3 5 |