Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600q |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-16819200 = -1 · 210 · 32 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[24:114:1] |
Generators of the group modulo torsion |
j |
-487780/657 |
j-invariant |
L |
7.3193939010778 |
L(r)(E,1)/r! |
Ω |
0.86248124837672 |
Real period |
R |
2.1216095751063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43800t1 87600k1 |
Quadratic twists by: -4 5 |