Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400bd |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
680625000000 = 26 · 32 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4658,117312] |
[a1,a2,a3,a4,a6] |
j |
11179320256/680625 |
j-invariant |
L |
1.7835846482819 |
L(r)(E,1)/r! |
Ω |
0.89179232414099 |
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 |
26400s1 52800co2 79200bi1 5280f1 |
Quadratic twists by: -4 8 -3 5 |