Atkin-Lehner |
2+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15640a |
Isogeny class |
Conductor |
15640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-138791021750000 = -1 · 24 · 56 · 176 · 23 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 -6 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12917,-44593] |
[a1,a2,a3,a4,a6] |
j |
14896653229760256/8674438859375 |
j-invariant |
L |
2.7525356135928 |
L(r)(E,1)/r! |
Ω |
0.3440669516991 |
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 |
31280c1 125120bc1 78200v1 |
Quadratic twists by: -4 8 5 |