Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840v |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-37444075200 = -1 · 26 · 33 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,590,7700] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:30:1] [8:114:1] |
Generators of the group modulo torsion |
j |
354293734976/585063675 |
j-invariant |
L |
11.736200681073 |
L(r)(E,1)/r! |
Ω |
0.7889306116197 |
Real period |
R |
1.2396739447273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840m1 127680di2 |
Quadratic twists by: -4 8 |