Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545x |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
746928000 |
Modular degree for the optimal curve |
Δ |
-4.4463441346801E+34 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 3 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,81999949306,4608763291827767] |
[a1,a2,a3,a4,a6] |
Generators |
[2003813766:1578438141679:5832] |
Generators of the group modulo torsion |
j |
188965297361881125703620989/137790940444381770827625 |
j-invariant |
L |
9.6831385772055 |
L(r)(E,1)/r! |
Ω |
0.0072472769890071 |
Real period |
R |
7.3412480573346 |
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 |
124545e1 |
Quadratic twists by: -19 |