Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
88752l |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-36296835858432 = -1 · 217 · 34 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 1 -4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44992,3699712] |
[a1,a2,a3,a4,a6] |
j |
-719292433/2592 |
j-invariant |
L |
2.6155897781684 |
L(r)(E,1)/r! |
Ω |
0.65389746331285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094p1 88752bh1 |
Quadratic twists by: -4 -43 |