Atkin-Lehner |
2+ 3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022b |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9247258603908 = 22 · 38 · 136 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-263474,-52163808] |
[a1,a2,a3,a4,a6] |
Generators |
[-16962422785:8306634482:57066625] |
Generators of the group modulo torsion |
j |
419063145367537/1915812 |
j-invariant |
L |
5.5147170692421 |
L(r)(E,1)/r! |
Ω |
0.21072449317566 |
Real period |
R |
13.085135443995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438f3 |
Quadratic twists by: 13 |