Atkin-Lehner |
2+ 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050o |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1350208000 = 29 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -5 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31356,2134458] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-49:1] |
Generators of the group modulo torsion |
j |
27274434591609197/10801664 |
j-invariant |
L |
5.1602237239273 |
L(r)(E,1)/r! |
Ω |
1.2362017851905 |
Real period |
R |
1.0435642031374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62050bh1 |
Quadratic twists by: 5 |