Atkin-Lehner |
3- 5- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395be |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-53830544625 = -1 · 311 · 53 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11- 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2012,-35976] |
[a1,a2,a3,a4,a6] |
Generators |
[92:696:1] |
Generators of the group modulo torsion |
j |
-1235030650489/73841625 |
j-invariant |
L |
5.5376311739846 |
L(r)(E,1)/r! |
Ω |
0.35520353556496 |
Real period |
R |
2.5983370829396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36465a1 |
Quadratic twists by: -3 |