Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450p |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
4066365452544000000 = 214 · 318 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102126717,397269359941] |
[a1,a2,a3,a4,a6] |
Generators |
[5829:-2152:1] |
Generators of the group modulo torsion |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
2.7785021531655 |
L(r)(E,1)/r! |
Ω |
0.18208013527581 |
Real period |
R |
3.8149441027116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150w1 738h1 |
Quadratic twists by: -3 5 |