Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19760h |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-150692230000 = -1 · 24 · 54 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 2 13+ 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5927,176621] |
[a1,a2,a3,a4,a6] |
Generators |
[52:95:1] |
Generators of the group modulo torsion |
j |
-1439158115978496/9418264375 |
j-invariant |
L |
4.9271768123717 |
L(r)(E,1)/r! |
Ω |
1.0337361754927 |
Real period |
R |
0.39719812214363 |
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 |
9880f1 79040bo1 98800p1 |
Quadratic twists by: -4 8 5 |