Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bj |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-30535418880000 = -1 · 213 · 310 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 4 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,266218] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1350:1] |
Generators of the group modulo torsion |
j |
-47045881/10226250 |
j-invariant |
L |
7.3530274188737 |
L(r)(E,1)/r! |
Ω |
0.53864985910648 |
Real period |
R |
1.7063560155661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090t1 24240bo1 |
Quadratic twists by: -4 -3 |