Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656j |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
88042790804544 = 26 · 34 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41274,3209544] |
[a1,a2,a3,a4,a6] |
j |
2582630848/29241 |
j-invariant |
L |
0.60708444594089 |
L(r)(E,1)/r! |
Ω |
0.60708444594557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34656bf1 69312bs2 103968ca1 1824i1 |
Quadratic twists by: -4 8 -3 -19 |