Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400s |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
380538000000000 = 210 · 38 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273675,55098250] |
[a1,a2,a3,a4,a6] |
Generators |
[-595:2700:1] [35:6750:1] |
Generators of the group modulo torsion |
j |
194348673796/32625 |
j-invariant |
L |
10.367811136565 |
L(r)(E,1)/r! |
Ω |
0.51824936823754 |
Real period |
R |
1.2503405423117 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52200i1 34800bg1 20880t1 |
Quadratic twists by: -4 -3 5 |