Atkin-Lehner |
2- 5- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
78850o |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-413401088000 = -1 · 221 · 53 · 19 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- -1 0 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1683,40081] |
[a1,a2,a3,a4,a6] |
Generators |
[35:142:1] |
Generators of the group modulo torsion |
j |
-4217763021893/3307208704 |
j-invariant |
L |
5.7090096371659 |
L(r)(E,1)/r! |
Ω |
0.86775544419704 |
Real period |
R |
0.15664413493479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78850e1 |
Quadratic twists by: 5 |