Atkin-Lehner |
2+ 3+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774f |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5106947558328 = 23 · 39 · 7 · 113 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10733217,-13531840795] |
[a1,a2,a3,a4,a6] |
Generators |
[-3268065480:1632891809:1728000] |
Generators of the group modulo torsion |
j |
6947397882532847671875/259459816 |
j-invariant |
L |
3.9620907521925 |
L(r)(E,1)/r! |
Ω |
0.083409799131135 |
Real period |
R |
11.875375538998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999989237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bn2 |
Quadratic twists by: -3 |