Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bm |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110400 |
Modular degree for the optimal curve |
Δ |
-826200000000 = -1 · 29 · 35 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30208,2031412] |
[a1,a2,a3,a4,a6] |
Generators |
[92:150:1] |
Generators of the group modulo torsion |
j |
-15243125000/4131 |
j-invariant |
L |
4.8285565194466 |
L(r)(E,1)/r! |
Ω |
0.87150658676399 |
Real period |
R |
0.92341174711699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800by1 81600jk1 122400bz1 40800bc1 |
Quadratic twists by: -4 8 -3 5 |