Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190bl |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1434703088680960000 = -1 · 218 · 54 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-133085,-60638285] |
[a1,a2,a3,a4,a6] |
Generators |
[1763:71148:1] |
Generators of the group modulo torsion |
j |
-2215761453033409/12194775040000 |
j-invariant |
L |
10.428207945814 |
L(r)(E,1)/r! |
Ω |
0.11229213598672 |
Real period |
R |
1.2898162475667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520cq1 75950bh1 2170l1 |
Quadratic twists by: -4 5 -7 |