Atkin-Lehner |
2+ 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480c |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-198604504800000 = -1 · 28 · 33 · 55 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90201,10479285] |
[a1,a2,a3,a4,a6] |
j |
-317046248340941824/775798846875 |
j-invariant |
L |
1.1329969485046 |
L(r)(E,1)/r! |
Ω |
0.56649847018304 |
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 |
45240f1 |
Quadratic twists by: -4 |