Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
61800m |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-222480000000 = -1 · 210 · 33 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,25488] |
[a1,a2,a3,a4,a6] |
Generators |
[48:300:1] |
Generators of the group modulo torsion |
j |
-7086244/13905 |
j-invariant |
L |
7.7648663098817 |
L(r)(E,1)/r! |
Ω |
0.88681326068312 |
Real period |
R |
0.36483001617536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600f1 12360b1 |
Quadratic twists by: -4 5 |