Atkin-Lehner |
2- 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24180a |
Isogeny class |
Conductor |
24180 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
118560 |
Modular degree for the optimal curve |
Δ |
-514009735200000 = -1 · 28 · 313 · 55 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75076,8017576] |
[a1,a2,a3,a4,a6] |
j |
-182807036554943824/2007850528125 |
j-invariant |
L |
1.5726141214985 |
L(r)(E,1)/r! |
Ω |
0.52420470716618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720cy1 72540x1 120900w1 |
Quadratic twists by: -4 -3 5 |