Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812k |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-258314058288 = -1 · 24 · 37 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11+ 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,24325] |
[a1,a2,a3,a4,a6] |
Generators |
[51:418:1] |
Generators of the group modulo torsion |
j |
399589376/22146267 |
j-invariant |
L |
4.9313693739879 |
L(r)(E,1)/r! |
Ω |
0.74777528235793 |
Real period |
R |
1.6486802542942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32604g1 |
Quadratic twists by: -3 |