Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400cc |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1721250000 = 24 · 34 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633,6012] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:92:1] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
4.8796798860524 |
L(r)(E,1)/r! |
Ω |
1.4676665540033 |
Real period |
R |
3.3247878223716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5100l1 81600io1 61200en1 4080bc1 |
Quadratic twists by: -4 8 -3 5 |