Atkin-Lehner |
2+ 3- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210m |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1824482880000000 = -1 · 212 · 38 · 57 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ 3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24435,-1442075] |
[a1,a2,a3,a4,a6] |
Generators |
[938:28619:1] |
Generators of the group modulo torsion |
j |
2213213019251759/2502720000000 |
j-invariant |
L |
3.7968601910664 |
L(r)(E,1)/r! |
Ω |
0.25315082884183 |
Real period |
R |
3.7496027675225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26070z1 |
Quadratic twists by: -3 |