Atkin-Lehner |
2+ 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850o |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
320252000 = 25 · 53 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19620,-1066000] |
[a1,a2,a3,a4,a6] |
Generators |
[28334238585:-999162547634:23149125] |
Generators of the group modulo torsion |
j |
6682597350735293/2562016 |
j-invariant |
L |
7.4542485463969 |
L(r)(E,1)/r! |
Ω |
0.40338703130405 |
Real period |
R |
18.479147735713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67850ba2 |
Quadratic twists by: 5 |