Atkin-Lehner |
2- 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26520p |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
7188871698028800 = 28 · 34 · 52 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49556,-1162044] |
[a1,a2,a3,a4,a6] |
j |
52575237512036944/28081530070425 |
j-invariant |
L |
2.7215725440513 |
L(r)(E,1)/r! |
Ω |
0.34019656800641 |
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 |
53040w1 79560ba1 |
Quadratic twists by: -4 -3 |