Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370ce |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
9434880 |
Modular degree for the optimal curve |
Δ |
-2.3361292872211E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32913301,-72729293701] |
[a1,a2,a3,a4,a6] |
Generators |
[53479:12266380:1] |
Generators of the group modulo torsion |
j |
-97713749255538496807/57891461529600 |
j-invariant |
L |
9.2075948062749 |
L(r)(E,1)/r! |
Ω |
0.031514561325096 |
Real period |
R |
2.7052734987058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370dq1 |
Quadratic twists by: -7 |