Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880cg |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
36 |
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 |
2.6081844963524 |
L(r)(E,1)/r! |
Ω |
0.002897982371258 |
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 |
110880cn1 110880b1 |
Quadratic twists by: -4 -3 |