Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400m |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-113356800 = -1 · 212 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,517] |
[a1,a2,a3,a4,a6] |
j |
-2560/1107 |
j-invariant |
L |
3.0376768593809 |
L(r)(E,1)/r! |
Ω |
1.5188383498047 |
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 |
98400bh1 98400cv1 |
Quadratic twists by: -4 5 |