Atkin-Lehner |
2- 3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498bf |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
360908005375475712 = 224 · 38 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-178899,-3653295] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:5070:1] |
Generators of the group modulo torsion |
j |
633209763691213830577/360908005375475712 |
j-invariant |
L |
6.0786662521187 |
L(r)(E,1)/r! |
Ω |
0.25110226769788 |
Real period |
R |
0.33622125734798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494t1 |
Quadratic twists by: -3 |