Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928d |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
67778252763902208 = 28 · 39 · 115 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1459863,678800790] |
[a1,a2,a3,a4,a6] |
j |
68285541719739888/13451140571 |
j-invariant |
L |
3.3751574558697 |
L(r)(E,1)/r! |
Ω |
0.33751574558693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13464a1 107712cw1 26928c1 |
Quadratic twists by: -4 8 -3 |