Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200d |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-2398926080000000000 = -1 · 217 · 510 · 374 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 3 0 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79167,74050463] |
[a1,a2,a3,a4,a6] |
Generators |
[72379:19472656:1] |
Generators of the group modulo torsion |
j |
42868750/1874161 |
j-invariant |
L |
8.8857288390038 |
L(r)(E,1)/r! |
Ω |
0.19567537545565 |
Real period |
R |
5.6763202945938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200ch1 7400i1 59200bu1 |
Quadratic twists by: -4 8 5 |