Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400cw |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-1051540480000000000 = -1 · 219 · 510 · 593 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 -3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,250367,-10528863] |
[a1,a2,a3,a4,a6] |
Generators |
[20496:738975:343] |
Generators of the group modulo torsion |
j |
423733973831/256723750 |
j-invariant |
L |
11.193212868498 |
L(r)(E,1)/r! |
Ω |
0.16058517090715 |
Real period |
R |
5.8085546294379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400k1 23600n1 18880r1 |
Quadratic twists by: -4 8 5 |