Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450r |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-210285286202880000 = -1 · 212 · 39 · 54 · 73 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,114708,-16251184] |
[a1,a2,a3,a4,a6] |
Generators |
[1720:71716:1] |
Generators of the group modulo torsion |
j |
13568486147325/17093758976 |
j-invariant |
L |
5.1302239312709 |
L(r)(E,1)/r! |
Ω |
0.16919412913461 |
Real period |
R |
2.5267937085679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450dd1 72450cn2 |
Quadratic twists by: -3 5 |