Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dg |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-55617989372859375 = -1 · 36 · 56 · 79 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38358,10962391] |
[a1,a2,a3,a4,a6] |
Generators |
[22630:1195297:8] |
Generators of the group modulo torsion |
j |
4657463/41503 |
j-invariant |
L |
7.3374070688387 |
L(r)(E,1)/r! |
Ω |
0.2587711133833 |
Real period |
R |
7.0887038278708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999194653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13475i1 4851k1 17325x1 |
Quadratic twists by: -3 5 -7 |