Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cs |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-919825200 = -1 · 24 · 33 · 52 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 0 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5450,156217] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-19:1] |
Generators of the group modulo torsion |
j |
-26517631877595/1362704 |
j-invariant |
L |
11.746961686451 |
L(r)(E,1)/r! |
Ω |
1.4842874394987 |
Real period |
R |
0.98927618173071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450j1 72450o1 |
Quadratic twists by: -3 5 |