Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640bf |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-198160931077632000 = -1 · 212 · 321 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-346368,-81331792] |
[a1,a2,a3,a4,a6] |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
0.19630030325123 |
L(r)(E,1)/r! |
Ω |
0.098150151625746 |
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 |
1665c1 106560fr1 8880r1 |
Quadratic twists by: -4 8 -3 |