Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600br |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
102892262880000000 = 211 · 3 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122008,5517488] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:27225:8] |
Generators of the group modulo torsion |
j |
29282/15 |
j-invariant |
L |
7.6180700289498 |
L(r)(E,1)/r! |
Ω |
0.29606521867987 |
Real period |
R |
2.1442544715051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bh1 72600dy1 |
Quadratic twists by: 5 -11 |