Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cl |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
19930061250000 = 24 · 32 · 57 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46383,-3823488] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:75:1] |
Generators of the group modulo torsion |
j |
24918016/45 |
j-invariant |
L |
5.6896513160683 |
L(r)(E,1)/r! |
Ω |
0.32535402041634 |
Real period |
R |
1.0929731458439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520v1 600a1 |
Quadratic twists by: 5 -11 |