Atkin-Lehner |
2+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31654c |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-3025771204913128448 = -1 · 210 · 78 · 175 · 192 |
Discriminant |
Eigenvalues |
2+ -3 -2 7+ -1 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31663,83726509] |
[a1,a2,a3,a4,a6] |
Generators |
[478:13089:1] |
Generators of the group modulo torsion |
j |
-608980364937/524870018048 |
j-invariant |
L |
1.9331844855399 |
L(r)(E,1)/r! |
Ω |
0.20454142431129 |
Real period |
R |
0.15752183956944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31654e1 |
Quadratic twists by: -7 |