Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800b |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
25480000000000 = 212 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18333,917963] |
[a1,a2,a3,a4,a6] |
Generators |
[109:476:1] |
Generators of the group modulo torsion |
j |
17036800/637 |
j-invariant |
L |
6.9204080341694 |
L(r)(E,1)/r! |
Ω |
0.66533605017835 |
Real period |
R |
2.60034310186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72800bo1 72800ce1 |
Quadratic twists by: -4 5 |