Atkin-Lehner |
3- 7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381i |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2906112 |
Modular degree for the optimal curve |
Δ |
2.9540733466714E+19 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10098050,12350819864] |
[a1,a2,a3,a4,a6] |
Generators |
[3228:114067:1] |
Generators of the group modulo torsion |
j |
156209950130007251409625/40522268129922873 |
j-invariant |
L |
4.2631148210962 |
L(r)(E,1)/r! |
Ω |
0.20440896716339 |
Real period |
R |
5.2139527953574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29127f1 |
Quadratic twists by: -3 |