Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192v |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
1179883584 = 26 · 36 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75861,8042220] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:2340:1] [157:44:1] |
Generators of the group modulo torsion |
j |
1034836884153792/25289 |
j-invariant |
L |
8.8174017774239 |
L(r)(E,1)/r! |
Ω |
1.1187306335598 |
Real period |
R |
2.6272042953344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60192e1 120384z1 6688a1 |
Quadratic twists by: -4 8 -3 |