Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bd |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
138769873920000 = 213 · 313 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17442,-677484] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:144:1] |
Generators of the group modulo torsion |
j |
1288009359025/304570368 |
j-invariant |
L |
2.8112680413857 |
L(r)(E,1)/r! |
Ω |
0.42254220195428 |
Real period |
R |
1.6633060723777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200gt1 2550bf1 7650cc1 |
Quadratic twists by: -4 -3 5 |