Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824i |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9187200 |
Modular degree for the optimal curve |
Δ |
-2.2586547602688E+23 |
Discriminant |
Eigenvalues |
2+ 3 0 4 -1 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14145620,10173529904] |
[a1,a2,a3,a4,a6] |
Generators |
[78081327086519949981184497498990:10542110891833813854059179987336192:4492233963498514665411610821] |
Generators of the group modulo torsion |
j |
2838375/2048 |
j-invariant |
L |
12.219797782003 |
L(r)(E,1)/r! |
Ω |
0.063199130720099 |
Real period |
R |
48.338472550052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824bg1 1682h1 53824q1 |
Quadratic twists by: -4 8 29 |