Atkin-Lehner |
3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57399d |
Isogeny class |
Conductor |
57399 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
14515200 |
Modular degree for the optimal curve |
Δ |
-5.0086959963844E+23 |
Discriminant |
Eigenvalues |
2 3+ 1 3 5 -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-103217240,-405022844635] |
[a1,a2,a3,a4,a6] |
Generators |
[83026950200:4771388462311:6229504] |
Generators of the group modulo torsion |
j |
-2584989816536277323776/10646407060342731 |
j-invariant |
L |
13.059444206588 |
L(r)(E,1)/r! |
Ω |
0.023676879129458 |
Real period |
R |
8.6182733210842 |
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 |
3021b1 |
Quadratic twists by: -19 |