Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450bb |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-355968000000000 = -1 · 216 · 33 · 59 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 2 2 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-125763,-17242719] |
[a1,a2,a3,a4,a6] |
j |
-112629603409757/182255616 |
j-invariant |
L |
4.0559180751019 |
L(r)(E,1)/r! |
Ω |
0.12674743984693 |
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 |
123600cv1 46350bh1 15450r1 |
Quadratic twists by: -4 -3 5 |