Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890dm |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
14515200 |
Modular degree for the optimal curve |
Δ |
-5.3333016258385E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30983273,-66465455703] |
[a1,a2,a3,a4,a6] |
j |
-1035508279824258316803/1678974660608000 |
j-invariant |
L |
5.7586147984622 |
L(r)(E,1)/r! |
Ω |
0.031992304891658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890t2 18270bj1 |
Quadratic twists by: -3 -7 |