Atkin-Lehner |
2- 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700j |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
785611406250000 = 24 · 37 · 510 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33958,2007037] |
[a1,a2,a3,a4,a6] |
j |
27716780800/5027913 |
j-invariant |
L |
3.8359598165184 |
L(r)(E,1)/r! |
Ω |
0.47949497648787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700br1 |
Quadratic twists by: 5 |