Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20976d |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-270109126656 = -1 · 212 · 38 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 3 -6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7445,-246051] |
[a1,a2,a3,a4,a6] |
Generators |
[6404:1863:64] |
Generators of the group modulo torsion |
j |
-11143361069056/65944611 |
j-invariant |
L |
4.1262503304582 |
L(r)(E,1)/r! |
Ω |
0.25688863542347 |
Real period |
R |
4.0156022508123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1311c1 83904br1 62928v1 |
Quadratic twists by: -4 8 -3 |