Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26640f |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-3014247940503091200 = -1 · 211 · 319 · 52 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1106643,-455803342] |
[a1,a2,a3,a4,a6] |
j |
-100389630395083682/2018931072975 |
j-invariant |
L |
1.1761701633707 |
L(r)(E,1)/r! |
Ω |
0.073510635210687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13320c1 106560gl1 8880c1 |
Quadratic twists by: -4 8 -3 |