Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cs |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-249613516800 = -1 · 221 · 32 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4933,133451] |
[a1,a2,a3,a4,a6] |
Generators |
[71:348:1] |
Generators of the group modulo torsion |
j |
-1003845508585/18874368 |
j-invariant |
L |
8.5834719412897 |
L(r)(E,1)/r! |
Ω |
0.98673185259424 |
Real period |
R |
0.20711643095698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350bv2 79350cq2 |
Quadratic twists by: 5 -23 |