Atkin-Lehner |
2+ 3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52440c |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-1968201573120 = -1 · 28 · 33 · 5 · 195 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112401,-14467275] |
[a1,a2,a3,a4,a6] |
Generators |
[389:722:1] |
Generators of the group modulo torsion |
j |
-613476788964250624/7688287395 |
j-invariant |
L |
5.1290198368467 |
L(r)(E,1)/r! |
Ω |
0.13036961011146 |
Real period |
R |
1.96710714733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880m1 |
Quadratic twists by: -4 |