Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cz |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
82656 |
Modular degree for the optimal curve |
Δ |
-19356316875 = -1 · 37 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,642,2594] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-383:1] |
Generators of the group modulo torsion |
j |
954060800/632043 |
j-invariant |
L |
3.270891048732 |
L(r)(E,1)/r! |
Ω |
0.7650808928344 |
Real period |
R |
0.10179101194456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475k1 62475bb1 |
Quadratic twists by: 5 -7 |