Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520z |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-139505172480 = -1 · 219 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8600,-310380] |
[a1,a2,a3,a4,a6] |
Generators |
[118:576:1] |
Generators of the group modulo torsion |
j |
-17175508997401/34058880 |
j-invariant |
L |
6.4407483391347 |
L(r)(E,1)/r! |
Ω |
0.24785011835034 |
Real period |
R |
1.0827693604377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190c1 70080bn1 52560y1 87600bd1 |
Quadratic twists by: -4 8 -3 5 |