Atkin-Lehner |
3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11655m |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-75239952947908875 = -1 · 311 · 53 · 72 · 375 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -2 5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-73272,-15246158] |
[a1,a2,a3,a4,a6] |
j |
-59677458829410304/103209811999875 |
j-invariant |
L |
1.6446805029444 |
L(r)(E,1)/r! |
Ω |
0.1370567085787 |
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 |
3885b1 58275g1 81585k1 |
Quadratic twists by: -3 5 -7 |