Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840cd |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-1877678040000000 = -1 · 29 · 3 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85440,-9864600] |
[a1,a2,a3,a4,a6] |
Generators |
[470:7350:1] |
Generators of the group modulo torsion |
j |
-134723250692513288/3667339921875 |
j-invariant |
L |
9.414110696723 |
L(r)(E,1)/r! |
Ω |
0.13939795978548 |
Real period |
R |
0.68912309903083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840bl1 127680ed1 |
Quadratic twists by: -4 8 |