Atkin-Lehner |
3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475j |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-71944189453125 = -1 · 33 · 511 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -5 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4495,-392378] |
[a1,a2,a3,a4,a6] |
Generators |
[224:3325:1] [542:3475:8] |
Generators of the group modulo torsion |
j |
23813300133/170534375 |
j-invariant |
L |
5.7978171138975 |
L(r)(E,1)/r! |
Ω |
0.30611292190401 |
Real period |
R |
0.7891718896948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475h1 20295c1 |
Quadratic twists by: -3 5 |