Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786m |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2967552 |
Modular degree for the optimal curve |
Δ |
-10657162811412 = -1 · 22 · 318 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5995026,-5648322920] |
[a1,a2,a3,a4,a6] |
Generators |
[18521069938679687175471490:343088242414876024897883680:6184948154417760591683] |
Generators of the group modulo torsion |
j |
-61789369736823097873/27634932 |
j-invariant |
L |
7.7952475526752 |
L(r)(E,1)/r! |
Ω |
0.048241609388226 |
Real period |
R |
40.396908662099 |
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 |
41262r1 123786o1 |
Quadratic twists by: -3 -23 |