Atkin-Lehner |
2+ 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650bg |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
9958541414062500 = 22 · 33 · 59 · 75 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1177326,-491766452] |
[a1,a2,a3,a4,a6] |
Generators |
[4571:297111:1] |
Generators of the group modulo torsion |
j |
92402420544848357/5098773204 |
j-invariant |
L |
4.7757730800283 |
L(r)(E,1)/r! |
Ω |
0.14493619412844 |
Real period |
R |
5.4918109640103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55650cp1 |
Quadratic twists by: 5 |