Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650ce |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
285 |
Product of Tamagawa factors cp |
deg |
3830400 |
Modular degree for the optimal curve |
Δ |
-7.7713620563558E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6305313,6239404617] |
[a1,a2,a3,a4,a6] |
Generators |
[1226:18155:1] |
Generators of the group modulo torsion |
j |
-1774286061290599638601/49736717160677376 |
j-invariant |
L |
12.438986844742 |
L(r)(E,1)/r! |
Ω |
0.15899169722549 |
Real period |
R |
0.27451476170322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346a1 |
Quadratic twists by: 5 |