Atkin-Lehner |
7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78337a |
Isogeny class |
Conductor |
78337 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-193970167363 = -1 · 7 · 197 · 31 |
Discriminant |
Eigenvalues |
0 0 -2 7+ -2 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1444,-1715] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-181:1] |
Generators of the group modulo torsion |
j |
7077888/4123 |
j-invariant |
L |
2.2438878829675 |
L(r)(E,1)/r! |
Ω |
0.59483957936028 |
Real period |
R |
0.94306429864936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4123a1 |
Quadratic twists by: -19 |