Atkin-Lehner |
2- 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700p |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
159840 |
Modular degree for the optimal curve |
Δ |
-4836300000000 = -1 · 28 · 3 · 58 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 -3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2667,-92463] |
[a1,a2,a3,a4,a6] |
Generators |
[31:138:1] |
Generators of the group modulo torsion |
j |
20971520/48363 |
j-invariant |
L |
4.0212629328928 |
L(r)(E,1)/r! |
Ω |
0.39889567355549 |
Real period |
R |
3.3603296868998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98700bj1 |
Quadratic twists by: 5 |