Atkin-Lehner |
5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675o |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-383052619140625 = -1 · 59 · 73 · 833 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-324505,71238122] |
[a1,a2,a3,a4,a6] |
Generators |
[338:-460:1] |
Generators of the group modulo torsion |
j |
-705135354083343/71473375 |
j-invariant |
L |
3.5717812687842 |
L(r)(E,1)/r! |
Ω |
0.51269975786307 |
Real period |
R |
0.58055116009467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20335b1 101675h1 |
Quadratic twists by: 5 -7 |