Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10650n |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
1257743700 = 22 · 311 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 5 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301,1028] |
[a1,a2,a3,a4,a6] |
Generators |
[1:26:1] |
Generators of the group modulo torsion |
j |
120062520625/50309748 |
j-invariant |
L |
3.8763112660372 |
L(r)(E,1)/r! |
Ω |
1.3855111029282 |
Real period |
R |
0.12717037508085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200bu1 31950ch1 10650bb1 |
Quadratic twists by: -4 -3 5 |