Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550w |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
1709538750000000 = 27 · 33 · 510 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30013,-231469] |
[a1,a2,a3,a4,a6] |
j |
306163065625/175056768 |
j-invariant |
L |
2.7508722468331 |
L(r)(E,1)/r! |
Ω |
0.39298174954759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400ck1 16650l1 5550t1 |
Quadratic twists by: -4 -3 5 |