Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475d |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-693518203125 = -1 · 39 · 57 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 11+ 4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16917,-843634] |
[a1,a2,a3,a4,a6] |
Generators |
[1428530:151984856:125] |
Generators of the group modulo torsion |
j |
-1740992427/2255 |
j-invariant |
L |
9.1430117426339 |
L(r)(E,1)/r! |
Ω |
0.20929256235749 |
Real period |
R |
10.921329041974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475n1 20295e1 |
Quadratic twists by: -3 5 |