Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
75295a |
Isogeny class |
Conductor |
75295 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
722304 |
Modular degree for the optimal curve |
Δ |
1435844641636625 = 53 · 112 · 377 |
Discriminant |
Eigenvalues |
1 -2 5+ -4 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136929,19405631] |
[a1,a2,a3,a4,a6] |
Generators |
[-938:47011:8] |
Generators of the group modulo torsion |
j |
110661134401/559625 |
j-invariant |
L |
3.6782908912447 |
L(r)(E,1)/r! |
Ω |
0.48168781546097 |
Real period |
R |
3.818127399514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2035c1 |
Quadratic twists by: 37 |