Atkin-Lehner |
2+ 3+ 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646a |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1971200 |
Modular degree for the optimal curve |
Δ |
648051922968772608 = 220 · 33 · 115 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 11+ 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1671405,-830387547] |
[a1,a2,a3,a4,a6] |
j |
19125164759187191992587/24001923072917504 |
j-invariant |
L |
2.1246227761376 |
L(r)(E,1)/r! |
Ω |
0.1327889223547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74646bc1 |
Quadratic twists by: -3 |