Atkin-Lehner |
2- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342o |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
1836244784182144 = 27 · 73 · 192 · 415 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -2 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30717,205169] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:807:1] [-38:1167:1] |
Generators of the group modulo torsion |
j |
9344732392669591/5353483335808 |
j-invariant |
L |
14.809214449004 |
L(r)(E,1)/r! |
Ω |
0.40165558149452 |
Real period |
R |
0.2633602222447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342u1 |
Quadratic twists by: -7 |