Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bd |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-853832197000396800 = -1 · 234 · 39 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-272187,-70454934] |
[a1,a2,a3,a4,a6] |
Generators |
[617536668372:-105818445735785:21024576] |
Generators of the group modulo torsion |
j |
-27661428758907/10590617600 |
j-invariant |
L |
8.5060470959741 |
L(r)(E,1)/r! |
Ω |
0.10255881711416 |
Real period |
R |
20.734558313159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9090o1 72720ba1 |
Quadratic twists by: -4 -3 |