Atkin-Lehner |
2+ 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450l |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55936584703125000 = 23 · 33 · 59 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-349242,78707916] |
[a1,a2,a3,a4,a6] |
Generators |
[-531:10953:1] [219:3453:1] |
Generators of the group modulo torsion |
j |
89332607016927/1060723384 |
j-invariant |
L |
7.7020692794443 |
L(r)(E,1)/r! |
Ω |
0.35445951981814 |
Real period |
R |
10.86452591729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cy2 72450dc2 |
Quadratic twists by: -3 5 |