Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787f |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
4766411410255341 = 33 · 77 · 118 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11- 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43479,-1054978] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:786:1] |
Generators of the group modulo torsion |
j |
360448/189 |
j-invariant |
L |
4.5198776540923 |
L(r)(E,1)/r! |
Ω |
0.35045005297042 |
Real period |
R |
2.1495586488392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361bb1 2541k1 17787g1 |
Quadratic twists by: -3 -7 -11 |