Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dg |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
61824000 |
Modular degree for the optimal curve |
Δ |
-9.1221575386963E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1008832635,-12341870827503] |
[a1,a2,a3,a4,a6] |
Generators |
[217214:99976913:1] |
Generators of the group modulo torsion |
j |
-2740960144799690209/2202009600000 |
j-invariant |
L |
13.911749887166 |
L(r)(E,1)/r! |
Ω |
0.013393492996678 |
Real period |
R |
8.3095574353103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090cu1 |
Quadratic twists by: -23 |