Atkin-Lehner |
2- 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
60564f |
Isogeny class |
Conductor |
60564 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10512 |
Modular degree for the optimal curve |
Δ |
-35611632 = -1 · 24 · 32 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,82,69] |
[a1,a2,a3,a4,a6] |
j |
1568000/927 |
j-invariant |
L |
2.5108352174226 |
L(r)(E,1)/r! |
Ω |
1.2554176088139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60564b1 |
Quadratic twists by: -7 |