Atkin-Lehner |
2+ 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150t |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024000 |
Modular degree for the optimal curve |
Δ |
-5213349066406250 = -1 · 2 · 59 · 72 · 11 · 195 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2497576,-1519450952] |
[a1,a2,a3,a4,a6] |
Generators |
[2572305510790:-138621053695811:704969000] |
Generators of the group modulo torsion |
j |
-882164466664725509/2669234722 |
j-invariant |
L |
5.052303114294 |
L(r)(E,1)/r! |
Ω |
0.060046793757117 |
Real period |
R |
21.03485797564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73150bu1 |
Quadratic twists by: 5 |