Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760i |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-1783340000000 = -1 · 28 · 57 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -2 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-540,-64612] |
[a1,a2,a3,a4,a6] |
Generators |
[46:100:1] |
Generators of the group modulo torsion |
j |
-68150496976/6966171875 |
j-invariant |
L |
6.8937031023666 |
L(r)(E,1)/r! |
Ω |
0.37049122482993 |
Real period |
R |
1.3290662003689 |
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 |
9880k1 79040bm1 98800d1 |
Quadratic twists by: -4 8 5 |