Atkin-Lehner |
3- 5+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735h |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
4555671162951845475 = 32 · 52 · 72 · 115 · 376 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7693514,8212348037] |
[a1,a2,a3,a4,a6] |
Generators |
[1581:364:1] |
Generators of the group modulo torsion |
j |
50361409466814165666023449/4555671162951845475 |
j-invariant |
L |
7.699580480502 |
L(r)(E,1)/r! |
Ω |
0.23398934114558 |
Real period |
R |
1.6452844481738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205ba2 |
Quadratic twists by: -3 |