Atkin-Lehner |
2+ 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280b |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-5824218750000 = -1 · 24 · 3 · 512 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4711,171790] |
[a1,a2,a3,a4,a6] |
j |
-722828430874624/364013671875 |
j-invariant |
L |
1.4127380691514 |
L(r)(E,1)/r! |
Ω |
0.70636901262465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59640o1 |
Quadratic twists by: -4 |