Atkin-Lehner |
2- 3+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330w |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
41440 |
Modular degree for the optimal curve |
Δ |
-923422295040 = -1 · 210 · 3 · 5 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1060,-43843] |
[a1,a2,a3,a4,a6] |
j |
131709075301439/923422295040 |
j-invariant |
L |
4.403222278761 |
L(r)(E,1)/r! |
Ω |
0.4403222278761 |
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 |
122640cz1 45990r1 76650bh1 107310cv1 |
Quadratic twists by: -4 -3 5 -7 |