Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600s |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-36300000000 = -1 · 28 · 3 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1833,-30963] |
[a1,a2,a3,a4,a6] |
Generators |
[53:134:1] |
Generators of the group modulo torsion |
j |
-56320/3 |
j-invariant |
L |
5.0704166127105 |
L(r)(E,1)/r! |
Ω |
0.36367692652004 |
Real period |
R |
3.4855226187774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600du1 72600da1 |
Quadratic twists by: 5 -11 |