Atkin-Lehner |
2+ 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23478p |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9446400 |
Modular degree for the optimal curve |
Δ |
6.9905505971428E+24 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86665933,283285341512] |
[a1,a2,a3,a4,a6] |
Generators |
[7014:139618:1] |
Generators of the group modulo torsion |
j |
71989466519382259510743643081/6990550597142848053706752 |
j-invariant |
L |
3.7260586611288 |
L(r)(E,1)/r! |
Ω |
0.07260648314583 |
Real period |
R |
5.7020599258564 |
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 |
70434bi1 |
Quadratic twists by: -3 |