Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23276b |
Isogeny class |
Conductor |
23276 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-797600789912432 = -1 · 24 · 114 · 237 |
Discriminant |
Eigenvalues |
2- 1 4 -2 11+ 3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5466,-1369483] |
[a1,a2,a3,a4,a6] |
Generators |
[449761:5440765:2197] |
Generators of the group modulo torsion |
j |
-7626496/336743 |
j-invariant |
L |
7.8548937876282 |
L(r)(E,1)/r! |
Ω |
0.22021328860332 |
Real period |
R |
4.4586851669165 |
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 |
93104bb1 1012c1 |
Quadratic twists by: -4 -23 |