Atkin-Lehner |
7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2261d |
Isogeny class |
Conductor |
2261 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-38000627 = -1 · 76 · 17 · 19 |
Discriminant |
Eigenvalues |
0 1 0 7- 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,37,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[1308:9244:27] |
Generators of the group modulo torsion |
j |
5451776000/38000627 |
j-invariant |
L |
3.0955650760797 |
L(r)(E,1)/r! |
Ω |
1.0216657268157 |
Real period |
R |
4.5448794965374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36176l1 20349k1 56525j1 15827h1 |
Quadratic twists by: -4 -3 5 -7 |