Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280u |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11280384 |
Modular degree for the optimal curve |
Δ |
1.1378607732621E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26392335,-9473336892] |
[a1,a2,a3,a4,a6] |
Generators |
[2035054634393697132:-73760661868986238440:339966089420257] |
Generators of the group modulo torsion |
j |
127068291676209529117751296/71116298328879702361125 |
j-invariant |
L |
8.9642082573235 |
L(r)(E,1)/r! |
Ω |
0.071563644007033 |
Real period |
R |
20.877007176455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640f1 |
Quadratic twists by: -4 |