Atkin-Lehner |
2+ 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090v |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-13011063620184000 = -1 · 26 · 38 · 53 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171864,-27924480] |
[a1,a2,a3,a4,a6] |
j |
-770109270718854529/17847823896000 |
j-invariant |
L |
1.4049446729601 |
L(r)(E,1)/r! |
Ω |
0.11707872274672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030t1 |
Quadratic twists by: -3 |