Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600ds |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
4031250000 = 24 · 3 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5333,-151662] |
[a1,a2,a3,a4,a6] |
Generators |
[6672273203015268:-7837080918494667:78865282263104] |
Generators of the group modulo torsion |
j |
536870912/129 |
j-invariant |
L |
7.3122969736952 |
L(r)(E,1)/r! |
Ω |
0.55867100851731 |
Real period |
R |
26.177470683813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12900g1 51600cc1 |
Quadratic twists by: -4 5 |