Atkin-Lehner |
2- 3+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672x |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38997504 |
Modular degree for the optimal curve |
Δ |
-8.1125282123209E+24 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -5 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42266960,-173091747264] |
[a1,a2,a3,a4,a6] |
j |
-2038763327083572328197841/1980597708086151250278 |
j-invariant |
L |
0.22784124949783 |
L(r)(E,1)/r! |
Ω |
0.028480084394736 |
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 |
15834r1 |
Quadratic twists by: -4 |