Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45080g |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-1161260800 = -1 · 28 · 52 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,-1856] |
[a1,a2,a3,a4,a6] |
Generators |
[39:230:1] |
Generators of the group modulo torsion |
j |
-4812208/13225 |
j-invariant |
L |
3.763664599638 |
L(r)(E,1)/r! |
Ω |
0.62635299340384 |
Real period |
R |
1.5022138631378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160j1 45080p1 |
Quadratic twists by: -4 -7 |