Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1406b |
Isogeny class |
Conductor |
1406 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
-3329408 = -1 · 27 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ -1 -2 1 2 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76,-304] |
[a1,a2,a3,a4,a6] |
Generators |
[11:13:1] |
Generators of the group modulo torsion |
j |
-49552182217/3329408 |
j-invariant |
L |
1.6073683964232 |
L(r)(E,1)/r! |
Ω |
0.80397743560272 |
Real period |
R |
0.99963526664038 |
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 |
11248j1 44992c1 12654p1 35150s1 |
Quadratic twists by: -4 8 -3 5 |