Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bt |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
1015327564453125 = 39 · 59 · 74 · 11 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 11- 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-165375,-25839844] |
[a1,a2,a3,a4,a6] |
Generators |
[1500:55687:1] |
Generators of the group modulo torsion |
j |
5419008/11 |
j-invariant |
L |
3.216837954446 |
L(r)(E,1)/r! |
Ω |
0.23677456790144 |
Real period |
R |
3.396519727581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999719574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275bm1 121275br1 121275ci1 |
Quadratic twists by: -3 5 -7 |