Atkin-Lehner |
5+ 31- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
51925d |
Isogeny class |
Conductor |
51925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
3642051953125 = 58 · 31 · 673 |
Discriminant |
Eigenvalues |
-2 1 5+ 2 4 3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11658,471844] |
[a1,a2,a3,a4,a6] |
j |
11215356719104/233091325 |
j-invariant |
L |
1.5764542692369 |
L(r)(E,1)/r! |
Ω |
0.78822713435413 |
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 |
10385b1 |
Quadratic twists by: 5 |