Atkin-Lehner |
2- 3- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970bx |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
145408 |
Modular degree for the optimal curve |
Δ |
-396459360000 = -1 · 28 · 37 · 54 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-563,30867] |
[a1,a2,a3,a4,a6] |
j |
-27027009001/543840000 |
j-invariant |
L |
6.3819188359715 |
L(r)(E,1)/r! |
Ω |
0.7977398740305 |
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 |
33990f1 |
Quadratic twists by: -3 |