Atkin-Lehner |
2+ 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240f |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
176640 |
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] |
Generators |
[419:5046:1] |
Generators of the group modulo torsion |
j |
-317046248340941824/775798846875 |
j-invariant |
L |
7.1102310917821 |
L(r)(E,1)/r! |
Ω |
0.1377217892175 |
Real period |
R |
2.1511456575449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90480c1 |
Quadratic twists by: -4 |