Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050bq |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-265849562916000000 = -1 · 28 · 33 · 56 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,150087,-10638969] |
[a1,a2,a3,a4,a6] |
Generators |
[69:192:1] |
Generators of the group modulo torsion |
j |
23929451044753463/17014372026624 |
j-invariant |
L |
7.5447529229618 |
L(r)(E,1)/r! |
Ω |
0.17467835543983 |
Real period |
R |
5.3990324843696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562f1 |
Quadratic twists by: 5 |