Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15640b |
Isogeny class |
Conductor |
15640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12160 |
Modular degree for the optimal curve |
Δ |
-2658800 = -1 · 24 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -6 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8296,293621] |
[a1,a2,a3,a4,a6] |
Generators |
[46:85:1] |
Generators of the group modulo torsion |
j |
-3946956213086464/166175 |
j-invariant |
L |
3.2058674504298 |
L(r)(E,1)/r! |
Ω |
1.9020901255888 |
Real period |
R |
0.21068056971258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31280d1 125120bh1 78200q1 |
Quadratic twists by: -4 8 5 |