Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350bq |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
12768000 |
Modular degree for the optimal curve |
Δ |
-5.5535740278494E+22 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -2 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8298675,-14605635475] |
[a1,a2,a3,a4,a6] |
Generators |
[96105:792175:27] |
Generators of the group modulo torsion |
j |
-313391806675/275365888 |
j-invariant |
L |
7.6455305104333 |
L(r)(E,1)/r! |
Ω |
0.04290018324741 |
Real period |
R |
2.9702789266008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998634595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350cf1 126350dn1 |
Quadratic twists by: 5 -19 |