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 |
deg |
300672 |
Modular degree for the optimal curve |
Δ |
-11127160000000 = -1 · 29 · 57 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4475,-109875] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1185:1] |
Generators of the group modulo torsion |
j |
43307231/48640 |
j-invariant |
L |
6.4340703363182 |
L(r)(E,1)/r! |
Ω |
0.38739427396662 |
Real period |
R |
1.3840486721951 |
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 |
22990ba1 114950cl1 |
Quadratic twists by: 5 -11 |