Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832bz |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
81862829604864 = 216 · 36 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68584,-6922444] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:90:1] |
Generators of the group modulo torsion |
j |
8710408612492777/19986042384 |
j-invariant |
L |
7.4198192089056 |
L(r)(E,1)/r! |
Ω |
0.29505515089201 |
Real period |
R |
2.0956023493778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854a2 |
Quadratic twists by: -4 |