Atkin-Lehner |
3- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
3621b |
Isogeny class |
Conductor |
3621 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
20672 |
Modular degree for the optimal curve |
Δ |
-99602320937499 = -1 · 319 · 17 · 712 |
Discriminant |
Eigenvalues |
-2 3- 3 -2 -5 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-48654,4142360] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:2875:1] |
Generators of the group modulo torsion |
j |
-12737620064548237312/99602320937499 |
j-invariant |
L |
2.4038378024433 |
L(r)(E,1)/r! |
Ω |
0.60161193142569 |
Real period |
R |
0.10514899428286 |
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 |
57936q1 10863e1 90525c1 61557b1 |
Quadratic twists by: -4 -3 5 17 |