Atkin-Lehner |
2+ 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920a |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
468480 |
Modular degree for the optimal curve |
Δ |
89054626050000 = 24 · 32 · 55 · 136 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40511,-3091914] |
[a1,a2,a3,a4,a6] |
j |
459550603750733824/5565914128125 |
j-invariant |
L |
3.0308608278988 |
L(r)(E,1)/r! |
Ω |
0.33676230197346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960n1 |
Quadratic twists by: -4 |