Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475bm |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
371732383483125 = 3 · 54 · 79 · 173 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43283,3353993] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:857:1] [-694:20311:8] |
Generators of the group modulo torsion |
j |
121960038400/5055477 |
j-invariant |
L |
7.6443714352529 |
L(r)(E,1)/r! |
Ω |
0.53127140040175 |
Real period |
R |
0.39968959522186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475bq2 8925bb2 |
Quadratic twists by: 5 -7 |