Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450bo |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
641861718750000000 = 27 · 36 · 514 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3512292,2534161616] |
[a1,a2,a3,a4,a6] |
Generators |
[-1271:70948:1] |
Generators of the group modulo torsion |
j |
420676324562824569/56350000000 |
j-invariant |
L |
4.2718308403324 |
L(r)(E,1)/r! |
Ω |
0.27777185352957 |
Real period |
R |
1.922364876773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050q2 14490bx2 |
Quadratic twists by: -3 5 |