Atkin-Lehner |
2+ 3- 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578m |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
99107299831566096 = 24 · 320 · 7 · 193 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-306846,63722052] |
[a1,a2,a3,a4,a6] |
Generators |
[486332:-955566:1331] |
Generators of the group modulo torsion |
j |
4382867875112457697/135949656833424 |
j-invariant |
L |
6.5661288128979 |
L(r)(E,1)/r! |
Ω |
0.33501489146854 |
Real period |
R |
9.799756640975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526u1 |
Quadratic twists by: -3 |