Atkin-Lehner |
2- 3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
31518n |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
217600 |
Modular degree for the optimal curve |
Δ |
-5529282542567424 = -1 · 220 · 311 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 0 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,27922,-3101187] |
[a1,a2,a3,a4,a6] |
Generators |
[281:-5325:1] [918:9669:8] |
Generators of the group modulo torsion |
j |
3302557089235559/7584749715456 |
j-invariant |
L |
10.520082527007 |
L(r)(E,1)/r! |
Ω |
0.22186729449364 |
Real period |
R |
0.29635064484767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10506a1 |
Quadratic twists by: -3 |