Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700v |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4678869757100000000 = 28 · 58 · 74 · 117 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424508,22275988] |
[a1,a2,a3,a4,a6] |
j |
1193895376/660275 |
j-invariant |
L |
1.6951540904679 |
L(r)(E,1)/r! |
Ω |
0.211894254121 |
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 |
16940e2 7700b2 |
Quadratic twists by: 5 -11 |