Atkin-Lehner |
5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53465h |
Isogeny class |
Conductor |
53465 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
389232 |
Modular degree for the optimal curve |
Δ |
1193726492091125 = 53 · 178 · 372 |
Discriminant |
Eigenvalues |
0 0 5- 0 5 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1346162,-601163278] |
[a1,a2,a3,a4,a6] |
j |
38674465652736/171125 |
j-invariant |
L |
0.84096242120195 |
L(r)(E,1)/r! |
Ω |
0.14016040322453 |
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 |
53465a1 |
Quadratic twists by: 17 |