Atkin-Lehner |
2- 3+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062w |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
258225408 |
Modular degree for the optimal curve |
Δ |
-1.1221645352528E+33 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23213216896,-862843422981725] |
[a1,a2,a3,a4,a6] |
j |
70281076923058316874817684730949/57011864820037025671355039744 |
j-invariant |
L |
4.3222747973998 |
L(r)(E,1)/r! |
Ω |
0.0085759420596629 |
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 |
55062a1 |
Quadratic twists by: -3 |