Atkin-Lehner |
2+ 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26910s |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
10028033114112000 = 220 · 39 · 53 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2462814,1488240148] |
[a1,a2,a3,a4,a6] |
j |
2266162893640266805729/13755875328000 |
j-invariant |
L |
2.1773670042053 |
L(r)(E,1)/r! |
Ω |
0.36289450070084 |
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 |
8970h1 |
Quadratic twists by: -3 |