Atkin-Lehner |
2- 3+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610y |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
204672 |
Modular degree for the optimal curve |
Δ |
-104714993664000 = -1 · 226 · 32 · 53 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4580,504677] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1841:1] |
Generators of the group modulo torsion |
j |
-10624929881440321/104714993664000 |
j-invariant |
L |
8.2984889195616 |
L(r)(E,1)/r! |
Ω |
0.50847959976547 |
Real period |
R |
0.4184666745061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830o1 |
Quadratic twists by: -3 |