Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bo |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79380480 |
Modular degree for the optimal curve |
Δ |
-6.7480036622551E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2277721350,41841461958750] |
[a1,a2,a3,a4,a6] |
Generators |
[35625:2413200:1] |
Generators of the group modulo torsion |
j |
-15237359766831865024183249/78679128583361250 |
j-invariant |
L |
2.8145541035722 |
L(r)(E,1)/r! |
Ω |
0.066368216695833 |
Real period |
R |
2.6505101142645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000105467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630dm1 18270x1 |
Quadratic twists by: -3 -7 |