Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872br |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-132244192346112 = -1 · 214 · 34 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3512,-548624] |
[a1,a2,a3,a4,a6] |
j |
9938375/274428 |
j-invariant |
L |
2.2596745749786 |
L(r)(E,1)/r! |
Ω |
0.28245932187234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3234k1 103488hl1 77616et1 3696ba1 |
Quadratic twists by: -4 8 -3 -7 |