Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880cn |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
340623360 |
Modular degree for the optimal curve |
Δ |
-6653550403863982080 = -1 · 212 · 39 · 5 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460357559352,120223960854272784] |
[a1,a2,a3,a4,a6] |
j |
-133831488550830692035088263306752/82528169185 |
j-invariant |
L |
4.5050677265066 |
L(r)(E,1)/r! |
Ω |
0.045050677324607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110880cg1 110880k1 |
Quadratic twists by: -4 -3 |