Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100920bh |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
7572730199403618000 = 24 · 32 · 53 · 2910 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-551135,85457592] |
[a1,a2,a3,a4,a6] |
Generators |
[2069:88305:1] |
Generators of the group modulo torsion |
j |
1945317554176/795691125 |
j-invariant |
L |
6.1374979689627 |
L(r)(E,1)/r! |
Ω |
0.21263315165245 |
Real period |
R |
2.4053547527677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3480l1 |
Quadratic twists by: 29 |