Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11760s |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-10372320000 = -1 · 28 · 33 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79641,-8677341] |
[a1,a2,a3,a4,a6] |
j |
-90888126966784/16875 |
j-invariant |
L |
2.5577460857519 |
L(r)(E,1)/r! |
Ω |
0.142097004764 |
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 |
5880a1 47040ev1 35280bz1 58800f1 |
Quadratic twists by: -4 8 -3 5 |