Atkin-Lehner |
2+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20482b |
Isogeny class |
Conductor |
20482 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
1527455518812923392 = 29 · 78 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11+ -7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-623796,180016050] |
[a1,a2,a3,a4,a6] |
j |
4656570129381625/264962401792 |
j-invariant |
L |
0.52802209404889 |
L(r)(E,1)/r! |
Ω |
0.26401104702444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20482d1 |
Quadratic twists by: -7 |