Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640a |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34160751878400 = 28 · 32 · 52 · 76 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40636,-3126860] |
[a1,a2,a3,a4,a6] |
Generators |
[253:1650:1] |
Generators of the group modulo torsion |
j |
28988603169478864/133440437025 |
j-invariant |
L |
3.0652472734884 |
L(r)(E,1)/r! |
Ω |
0.33634984040408 |
Real period |
R |
4.5566355403645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997589 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119280n2 |
Quadratic twists by: -4 |