Atkin-Lehner |
5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
35695b |
Isogeny class |
Conductor |
35695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
316179349475 = 52 · 118 · 59 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37936,2840685] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:776:1] [-12:1821:1] |
Generators of the group modulo torsion |
j |
3408183162649/178475 |
j-invariant |
L |
3.1201411583338 |
L(r)(E,1)/r! |
Ω |
0.91276834219804 |
Real period |
R |
1.7091637681139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3245a2 |
Quadratic twists by: -11 |