Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ca |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
10486893619125 = 33 · 53 · 710 · 11 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11+ 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-36015,-2626094] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:67:1] |
Generators of the group modulo torsion |
j |
5419008/11 |
j-invariant |
L |
3.5372636724305 |
L(r)(E,1)/r! |
Ω |
0.34660247713105 |
Real period |
R |
2.5513837181362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275cf1 121275bx1 121275bo1 |
Quadratic twists by: -3 5 -7 |