Atkin-Lehner |
2- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650w |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
1303910662400000000 = 214 · 58 · 172 · 893 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-276505,10725497] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:-6004:1] |
Generators of the group modulo torsion |
j |
149627417612985369/83450282393600 |
j-invariant |
L |
6.5756401613915 |
L(r)(E,1)/r! |
Ω |
0.2350965939009 |
Real period |
R |
0.33297560449425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130e1 |
Quadratic twists by: 5 |