Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152l |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-452097378484224 = -1 · 217 · 3 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11+ -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16376,-1297296] |
[a1,a2,a3,a4,a6] |
Generators |
[265:3592:1] |
Generators of the group modulo torsion |
j |
-118580635373689/110375336544 |
j-invariant |
L |
2.3775183690415 |
L(r)(E,1)/r! |
Ω |
0.20323240517017 |
Real period |
R |
5.8492600307784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3894f1 124608df1 93456bo1 |
Quadratic twists by: -4 8 -3 |