Atkin-Lehner |
2- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76096f |
Isogeny class |
Conductor |
76096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-8388180180992 = -1 · 223 · 293 · 41 |
Discriminant |
Eigenvalues |
2- 1 2 -5 1 5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34337,2441567] |
[a1,a2,a3,a4,a6] |
j |
-17079827632777/31998368 |
j-invariant |
L |
1.4722276371298 |
L(r)(E,1)/r! |
Ω |
0.73611381975877 |
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 |
76096a1 19024d1 |
Quadratic twists by: -4 8 |