Atkin-Lehner |
2+ 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400l |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
935454258000 = 24 · 310 · 53 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98563,-11943022] |
[a1,a2,a3,a4,a6] |
j |
52946817898514432/467727129 |
j-invariant |
L |
5.3889100533 |
L(r)(E,1)/r! |
Ω |
0.26944550271406 |
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 |
106800j1 53400r1 |
Quadratic twists by: -4 5 |