Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
49440m |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-98880000 = -1 · 29 · 3 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1560,-23208] |
[a1,a2,a3,a4,a6] |
j |
-820551625928/193125 |
j-invariant |
L |
1.5192144121182 |
L(r)(E,1)/r! |
Ω |
0.37980360304068 |
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 |
49440h1 98880u1 |
Quadratic twists by: -4 8 |