Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95506i |
Isogeny class |
Conductor |
95506 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
66096 |
Modular degree for the optimal curve |
Δ |
-7065915904 = -1 · 29 · 173 · 532 |
Discriminant |
Eigenvalues |
2- 2 3 -1 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-509,5779] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:108:1] |
Generators of the group modulo torsion |
j |
-5192525593/2515456 |
j-invariant |
L |
18.433856286559 |
L(r)(E,1)/r! |
Ω |
1.2376225859869 |
Real period |
R |
0.55165074190467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95506f1 |
Quadratic twists by: 53 |