Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480by |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-1824760000000000 = -1 · 212 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -5 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159152,-24524304] |
[a1,a2,a3,a4,a6] |
Generators |
[497:4375:1] |
Generators of the group modulo torsion |
j |
-45332315836416/185546875 |
j-invariant |
L |
5.1247833458768 |
L(r)(E,1)/r! |
Ω |
0.11948411030467 |
Real period |
R |
1.4296973131098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655n1 74480bn1 |
Quadratic twists by: -4 -7 |