Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cx |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
147658686328125 = 33 · 58 · 77 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 3 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-83708,-9331381] |
[a1,a2,a3,a4,a6] |
Generators |
[3866:63647:8] |
Generators of the group modulo torsion |
j |
1411502080/3213 |
j-invariant |
L |
15.830095799109 |
L(r)(E,1)/r! |
Ω |
0.28071575097462 |
Real period |
R |
4.6993253684482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475m1 8925m1 |
Quadratic twists by: 5 -7 |