Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056l |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17098921684992 = 212 · 3 · 72 · 734 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7889,-179487] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:252:1] |
Generators of the group modulo torsion |
j |
13258203533632/4174541427 |
j-invariant |
L |
2.3853866363739 |
L(r)(E,1)/r! |
Ω |
0.5191131190731 |
Real period |
R |
2.2975595768392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49056j3 98112u1 |
Quadratic twists by: -4 8 |