Atkin-Lehner |
2- 5- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99760o |
Isogeny class |
Conductor |
99760 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
23950080 |
Modular degree for the optimal curve |
Δ |
-5.6303102092902E+25 |
Discriminant |
Eigenvalues |
2- 0 5- -3 0 -6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-302287667,-2054881382926] |
[a1,a2,a3,a4,a6] |
Generators |
[17036719:3522560000:343] |
Generators of the group modulo torsion |
j |
-745804587796079152027589001/13745874534400000000000 |
j-invariant |
L |
3.6239398605293 |
L(r)(E,1)/r! |
Ω |
0.018083799846154 |
Real period |
R |
4.5544780544336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12470e1 |
Quadratic twists by: -4 |