Atkin-Lehner |
3+ 5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
35805b |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-61047525 = -1 · 3 · 52 · 7 · 112 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,77,-242] |
[a1,a2,a3,a4,a6] |
j |
49471280711/61047525 |
j-invariant |
L |
2.1123519821271 |
L(r)(E,1)/r! |
Ω |
1.0561759910718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107415v2 |
Quadratic twists by: -3 |