Atkin-Lehner |
2- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114076c |
Isogeny class |
Conductor |
114076 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-68392603028224 = -1 · 28 · 193 · 794 |
Discriminant |
Eigenvalues |
2- 0 3 -3 -3 4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8816,509732] |
[a1,a2,a3,a4,a6] |
Generators |
[68:474:1] |
Generators of the group modulo torsion |
j |
-43155652608/38950081 |
j-invariant |
L |
6.9515210324243 |
L(r)(E,1)/r! |
Ω |
0.56425472189715 |
Real period |
R |
0.51332615588731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114076a1 |
Quadratic twists by: -19 |