Atkin-Lehner |
2+ 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930a |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
550400 |
Modular degree for the optimal curve |
Δ |
-3.4664215800982E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,494122,249942228] |
[a1,a2,a3,a4,a6] |
j |
13342122094697556567191/34664215800981600000 |
j-invariant |
L |
0.28932660006676 |
L(r)(E,1)/r! |
Ω |
0.14466330003338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65790cv1 109650cv1 |
Quadratic twists by: -3 5 |