Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19760n |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15759744 |
Modular degree for the optimal curve |
Δ |
-7.3124067674966E+29 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1307364824,-36899998777676] |
[a1,a2,a3,a4,a6] |
Generators |
[17358329005380955998971720179613978273403436080387638576207949330:4907389142864526279768260999211114397577911356493554197962875600896:252619348663721924727189931659808032502835964967872122188063] |
Generators of the group modulo torsion |
j |
60332893035582377081137649111/178525555847085424640000000 |
j-invariant |
L |
5.6540078096963 |
L(r)(E,1)/r! |
Ω |
0.014610728504336 |
Real period |
R |
96.744111835666 |
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 |
2470a1 79040cb1 98800cd1 |
Quadratic twists by: -4 8 5 |