Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944o |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
227328 |
Modular degree for the optimal curve |
Δ |
-1532259088396288 = -1 · 212 · 7 · 192 · 236 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64048,6495636] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:3496:1] |
Generators of the group modulo torsion |
j |
-7093935953448625/374086691503 |
j-invariant |
L |
1.7953912820488 |
L(r)(E,1)/r! |
Ω |
0.47084874370217 |
Real period |
R |
0.31775796828859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3059b1 |
Quadratic twists by: -4 |