Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950bc |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1569103421875000 = -1 · 23 · 59 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116525,-15476875] |
[a1,a2,a3,a4,a6] |
Generators |
[865:22630:1] |
Generators of the group modulo torsion |
j |
-764884928929/6859000 |
j-invariant |
L |
6.4340703363182 |
L(r)(E,1)/r! |
Ω |
0.12913142465554 |
Real period |
R |
4.1521460165852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999538778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990ba2 114950cl2 |
Quadratic twists by: 5 -11 |