Atkin-Lehner |
5+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23485a |
Isogeny class |
Conductor |
23485 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4132800 |
Modular degree for the optimal curve |
Δ |
-4.0185406150461E+23 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 11+ 1 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-70801351,-231299230993] |
[a1,a2,a3,a4,a6] |
Generators |
[424462481756676196457712841805248253843519962560264608290090533:53181959494713727485612529862838336594976252876159815105790797443:21380846338775132218466375906720334954565996975849112340821] |
Generators of the group modulo torsion |
j |
-39250785517656125859223404544/401854061504611495346875 |
j-invariant |
L |
4.8798656802273 |
L(r)(E,1)/r! |
Ω |
0.026007230282842 |
Real period |
R |
93.817481276481 |
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 |
117425f1 |
Quadratic twists by: 5 |