Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700by |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-193405158000 = -1 · 24 · 39 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7678,257273] |
[a1,a2,a3,a4,a6] |
Generators |
[62:153:1] [-82:585:1] |
Generators of the group modulo torsion |
j |
-5095042816/19683 |
j-invariant |
L |
12.624949561441 |
L(r)(E,1)/r! |
Ω |
1.0117207787869 |
Real period |
R |
0.1155434222283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700s1 86700r1 |
Quadratic twists by: 5 17 |