Atkin-Lehner |
2+ 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578t |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
5771308802112 = 26 · 39 · 73 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63792,-6184512] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:87:1] |
Generators of the group modulo torsion |
j |
39382081648890625/7916747328 |
j-invariant |
L |
6.0973784883762 |
L(r)(E,1)/r! |
Ω |
0.30040898633037 |
Real period |
R |
1.6914103682804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526w1 |
Quadratic twists by: -3 |