Atkin-Lehner |
2- 3+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34980h |
Isogeny class |
Conductor |
34980 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16416 |
Modular degree for the optimal curve |
Δ |
918015120 = 24 · 39 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11+ -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-330,-1683] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:125:27] |
Generators of the group modulo torsion |
j |
249150021376/57375945 |
j-invariant |
L |
5.5679130001619 |
L(r)(E,1)/r! |
Ω |
1.138410830119 |
Real period |
R |
4.890952240484 |
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 |
104940ba1 |
Quadratic twists by: -3 |