Atkin-Lehner |
2+ 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154s |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
242175079357092 = 22 · 37 · 74 · 193 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15912,-186516] |
[a1,a2,a3,a4,a6] |
Generators |
[255:3378:1] [-110:528:1] |
Generators of the group modulo torsion |
j |
611203519914625/332201754948 |
j-invariant |
L |
8.2183745733436 |
L(r)(E,1)/r! |
Ω |
0.45342413609217 |
Real period |
R |
0.75521404053877 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718l1 |
Quadratic twists by: -3 |