Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1098f |
Isogeny class |
Conductor |
1098 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-409826304 = -1 · 210 · 38 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 1 -5 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-288,-2048] |
[a1,a2,a3,a4,a6] |
Generators |
[32:128:1] |
Generators of the group modulo torsion |
j |
-3630961153/562176 |
j-invariant |
L |
2.0713283946754 |
L(r)(E,1)/r! |
Ω |
0.57446293344089 |
Real period |
R |
0.90141951468855 |
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 |
8784ba1 35136t1 366g1 27450bv1 |
Quadratic twists by: -4 8 -3 5 |