Atkin-Lehner |
3- 5- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35805n |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
353350705640625 = 34 · 56 · 74 · 112 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20798,-719197] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:700:1] |
Generators of the group modulo torsion |
j |
994851859803422041/353350705640625 |
j-invariant |
L |
7.8423392152249 |
L(r)(E,1)/r! |
Ω |
0.40922154927833 |
Real period |
R |
1.5970035524473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107415k2 |
Quadratic twists by: -3 |