Atkin-Lehner |
2- 3+ 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510k |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
38112192900 = 22 · 39 · 52 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10802,-429299] |
[a1,a2,a3,a4,a6] |
j |
7081206278427/1936300 |
j-invariant |
L |
7.4929660089907 |
L(r)(E,1)/r! |
Ω |
0.46831037468119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102510c1 |
Quadratic twists by: -3 |