Atkin-Lehner |
3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
102675d |
Isogeny class |
Conductor |
102675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-14438671875 = -1 · 33 · 58 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 -6 7 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-250,5875] |
[a1,a2,a3,a4,a6] |
Generators |
[90:805:1] |
Generators of the group modulo torsion |
j |
-81289/675 |
j-invariant |
L |
6.4273425632214 |
L(r)(E,1)/r! |
Ω |
1.0706934024316 |
Real period |
R |
3.0014860322481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20535f1 102675e1 |
Quadratic twists by: 5 37 |