Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760j |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-338970298800 = -1 · 24 · 3 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,425,-27950] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2220:1] |
Generators of the group modulo torsion |
j |
4499456/180075 |
j-invariant |
L |
4.0960194948049 |
L(r)(E,1)/r! |
Ω |
0.46160360543452 |
Real period |
R |
4.4367282302195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5880l1 47040fv1 35280z1 58800ct1 |
Quadratic twists by: -4 8 -3 5 |