Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950iv |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
690 |
Product of Tamagawa factors cp |
deg |
83462400 |
Modular degree for the optimal curve |
Δ |
-2.4101051440499E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-430955638,4175663881892] |
[a1,a2,a3,a4,a6] |
Generators |
[11708:-863158:1] |
Generators of the group modulo torsion |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
14.259087128297 |
L(r)(E,1)/r! |
Ω |
0.043591644082953 |
Real period |
R |
0.47406662799202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999734651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950x1 2550z1 |
Quadratic twists by: 5 -7 |