Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dj |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-91875000000 = -1 · 26 · 3 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1458,-26412] |
[a1,a2,a3,a4,a6] |
Generators |
[19616184:147543614:250047] |
Generators of the group modulo torsion |
j |
-11200/3 |
j-invariant |
L |
9.5712480358264 |
L(r)(E,1)/r! |
Ω |
0.38095717998647 |
Real period |
R |
12.562104804962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bg1 117600gc1 117600i1 |
Quadratic twists by: -4 5 -7 |