Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430cu |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-2.7611443790717E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 6 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1819208,-977231573] |
[a1,a2,a3,a4,a6] |
Generators |
[3643:200003:1] |
Generators of the group modulo torsion |
j |
-5868065424123/243340000 |
j-invariant |
L |
9.6997279392649 |
L(r)(E,1)/r! |
Ω |
0.064840403762329 |
Real period |
R |
2.493231423818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430j1 101430dj1 |
Quadratic twists by: -3 -7 |