Atkin-Lehner |
3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575a |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2034960046875 = -1 · 33 · 56 · 76 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3000,26656] |
[a1,a2,a3,a4,a6] |
Generators |
[260:4287:1] |
Generators of the group modulo torsion |
j |
7077888000/4823609 |
j-invariant |
L |
4.7601487432974 |
L(r)(E,1)/r! |
Ω |
0.52162785892777 |
Real period |
R |
1.1406955796103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64575c2 2583a1 |
Quadratic twists by: -3 5 |