Atkin-Lehner |
2+ 3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52440b |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-120352212305550000 = -1 · 24 · 39 · 55 · 19 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4391,-16690020] |
[a1,a2,a3,a4,a6] |
Generators |
[739:19573:1] |
Generators of the group modulo torsion |
j |
-585319432198144/7522013269096875 |
j-invariant |
L |
4.0805969645147 |
L(r)(E,1)/r! |
Ω |
0.15087379709302 |
Real period |
R |
2.7046425841352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880l1 |
Quadratic twists by: -4 |