Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475o |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-996110185546875 = -1 · 3 · 510 · 76 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 2 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,20417,-1029057] |
[a1,a2,a3,a4,a6] |
Generators |
[15861:1997559:1] |
Generators of the group modulo torsion |
j |
819200/867 |
j-invariant |
L |
4.4194103110299 |
L(r)(E,1)/r! |
Ω |
0.26754137899905 |
Real period |
R |
8.2593024065355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475cm1 1275e1 |
Quadratic twists by: 5 -7 |