Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050bw |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-185364703125000 = -1 · 23 · 34 · 59 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8063,-715219] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1492:1] |
Generators of the group modulo torsion |
j |
-3710197529641/11863341000 |
j-invariant |
L |
9.0539794480293 |
L(r)(E,1)/r! |
Ω |
0.23221330182032 |
Real period |
R |
0.81229012447469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810f1 |
Quadratic twists by: 5 |