Atkin-Lehner |
2- 3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498bf |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
3566630590581510144 = 212 · 34 · 76 · 114 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1837779,953852241] |
[a1,a2,a3,a4,a6] |
Generators |
[963:-9330:1] |
Generators of the group modulo torsion |
j |
686441577548312340609457/3566630590581510144 |
j-invariant |
L |
6.0786662521187 |
L(r)(E,1)/r! |
Ω |
0.25110226769788 |
Real period |
R |
0.67244251469595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109494t2 |
Quadratic twists by: -3 |