Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bl |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
7 |
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] |
j |
-134723250692513288/3667339921875 |
j-invariant |
L |
3.2710832313752 |
L(r)(E,1)/r! |
Ω |
0.46729760512614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840cd1 127680ey1 |
Quadratic twists by: -4 8 |