Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330m |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-455906778808320 = -1 · 217 · 34 · 5 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 6 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31098,2344876] |
[a1,a2,a3,a4,a6] |
Generators |
[92:468:1] |
Generators of the group modulo torsion |
j |
-3325837412862057241/455906778808320 |
j-invariant |
L |
4.6349160801282 |
L(r)(E,1)/r! |
Ω |
0.51045146765774 |
Real period |
R |
1.1350041026907 |
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 |
122640br1 45990bv1 76650cd1 107310p1 |
Quadratic twists by: -4 -3 5 -7 |