Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23100v |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
10483200 |
Modular degree for the optimal curve |
Δ |
-7.1103687202606E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92440633,-1327790350012] |
[a1,a2,a3,a4,a6] |
Generators |
[2393702506016:499238167968750:51895117] |
Generators of the group modulo torsion |
j |
-349439858058052607328256/2844147488104248046875 |
j-invariant |
L |
5.7995982401059 |
L(r)(E,1)/r! |
Ω |
0.021428823971984 |
Real period |
R |
13.532236411313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400er1 69300bn1 4620e1 |
Quadratic twists by: -4 -3 5 |