Atkin-Lehner |
2- 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890bx |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-2433832474500000 = -1 · 25 · 39 · 56 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30103,-1269431] |
[a1,a2,a3,a4,a6] |
Generators |
[427:-9664:1] |
Generators of the group modulo torsion |
j |
153276396139413/123651500000 |
j-invariant |
L |
10.843908161091 |
L(r)(E,1)/r! |
Ω |
0.2543995023031 |
Real period |
R |
0.17760628563416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890d1 |
Quadratic twists by: -3 |