Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925bf |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-86991448974609375 = -1 · 37 · 514 · 73 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,44770,-13725228] |
[a1,a2,a3,a4,a6] |
j |
871257511151/7637109375 |
j-invariant |
L |
2.0223047381197 |
L(r)(E,1)/r! |
Ω |
0.16852539484337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9975e1 5985p1 |
Quadratic twists by: -3 5 |