Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832g |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
61561285632 = 210 · 38 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195504,-33207120] |
[a1,a2,a3,a4,a6] |
Generators |
[56580:1408185:64] |
Generators of the group modulo torsion |
j |
807036020920430788/60118443 |
j-invariant |
L |
3.457101855872 |
L(r)(E,1)/r! |
Ω |
0.22704422488927 |
Real period |
R |
7.6132785535389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416q4 |
Quadratic twists by: -4 |