Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248w |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-5783976700260319232 = -1 · 216 · 72 · 239 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60835,-115854174] |
[a1,a2,a3,a4,a6] |
Generators |
[817:19488:1] [2097:94752:1] |
Generators of the group modulo torsion |
j |
-3375/784 |
j-invariant |
L |
9.7512999442087 |
L(r)(E,1)/r! |
Ω |
0.10712840338843 |
Real period |
R |
22.756103040325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406a1 59248r1 |
Quadratic twists by: -4 -23 |