Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1406a |
Isogeny class |
Conductor |
1406 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-18779942 = -1 · 2 · 193 · 372 |
Discriminant |
Eigenvalues |
2+ -1 2 -3 2 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,56,158] |
[a1,a2,a3,a4,a6] |
Generators |
[49:327:1] |
Generators of the group modulo torsion |
j |
18884848247/18779942 |
j-invariant |
L |
1.8396579542713 |
L(r)(E,1)/r! |
Ω |
1.4322859983405 |
Real period |
R |
0.21407013641162 |
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 |
11248i1 44992d1 12654r1 35150t1 |
Quadratic twists by: -4 8 -3 5 |