Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350v |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-174157644375000000 = -1 · 26 · 311 · 510 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150192,-30046784] |
[a1,a2,a3,a4,a6] |
Generators |
[504:4448:1] [629:10823:1] |
Generators of the group modulo torsion |
j |
-32894113444921/15289560000 |
j-invariant |
L |
7.7458554723803 |
L(r)(E,1)/r! |
Ω |
0.11860760487934 |
Real period |
R |
4.0816604257188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450bs1 12870bn1 |
Quadratic twists by: -3 5 |