Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760bi |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2700507600 = 24 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45915,-3802212] |
[a1,a2,a3,a4,a6] |
j |
1950665639360512/492075 |
j-invariant |
L |
2.9353009511948 |
L(r)(E,1)/r! |
Ω |
0.32614455013276 |
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 |
5880y1 47040en1 35280bp1 58800bg1 |
Quadratic twists by: -4 8 -3 5 |