Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bp |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6782976 |
Modular degree for the optimal curve |
Δ |
4.0140498002238E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 1 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15512925,23515389031] |
[a1,a2,a3,a4,a6] |
Generators |
[137540:647993:64] |
Generators of the group modulo torsion |
j |
462843904/45 |
j-invariant |
L |
14.999301960046 |
L(r)(E,1)/r! |
Ω |
0.19548714264504 |
Real period |
R |
3.1969924132248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39675q1 23805w1 119025bq1 |
Quadratic twists by: -3 5 -23 |