Atkin-Lehner |
2+ 3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320b |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
29646062208000 = 210 · 39 · 53 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10827,-345546] |
[a1,a2,a3,a4,a6] |
j |
6963969708/1470875 |
j-invariant |
L |
2.8500947544 |
L(r)(E,1)/r! |
Ω |
0.47501580897748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103320w1 |
Quadratic twists by: -3 |