Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880k |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
113541120 |
Modular degree for the optimal curve |
Δ |
-9126955286507520 = -1 · 212 · 33 · 5 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51150839928,-4452739290898992] |
[a1,a2,a3,a4,a6] |
Generators |
[26001053259880121278159174152:35307253483389692243070902933916:13885571699335571409539] |
Generators of the group modulo torsion |
j |
-133831488550830692035088263306752/82528169185 |
j-invariant |
L |
7.8028578215781 |
L(r)(E,1)/r! |
Ω |
0.0050194527064577 |
Real period |
R |
43.181211832226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110880b1 110880cn1 |
Quadratic twists by: -4 -3 |