Atkin-Lehner |
2- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342u |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2508800 |
Modular degree for the optimal curve |
Δ |
2.1603236261425E+20 |
Discriminant |
Eigenvalues |
2- -1 3 7- -2 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1505134,-71878101] |
[a1,a2,a3,a4,a6] |
j |
9344732392669591/5353483335808 |
j-invariant |
L |
4.1394516797808 |
L(r)(E,1)/r! |
Ω |
0.14783755972242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342o1 |
Quadratic twists by: -7 |