Atkin-Lehner |
5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52675b |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-179039856682421875 = -1 · 58 · 78 · 433 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 3 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-111883,-24975856] |
[a1,a2,a3,a4,a6] |
j |
-84258095104/97396075 |
j-invariant |
L |
0.49973604698266 |
L(r)(E,1)/r! |
Ω |
0.12493401164363 |
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 |
10535e1 7525a1 |
Quadratic twists by: 5 -7 |