Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800bc |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
-52876800 = -1 · 29 · 35 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,15768] |
[a1,a2,a3,a4,a6] |
Generators |
[22:18:1] |
Generators of the group modulo torsion |
j |
-15243125000/4131 |
j-invariant |
L |
5.0385798982145 |
L(r)(E,1)/r! |
Ω |
1.9487479708431 |
Real period |
R |
0.25855472198556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800l1 81600gu1 122400di1 40800bm1 |
Quadratic twists by: -4 8 -3 5 |