Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080bu |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
578643164467200 = 212 · 312 · 52 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92496,10734804] |
[a1,a2,a3,a4,a6] |
Generators |
[204:-630:1] [-300:3402:1] |
Generators of the group modulo torsion |
j |
21366693269481169/141270303825 |
j-invariant |
L |
10.623632065457 |
L(r)(E,1)/r! |
Ω |
0.51963788618145 |
Real period |
R |
0.28394859050383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3255a1 |
Quadratic twists by: -4 |