Atkin-Lehner |
2+ 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990ba |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
-224391617694720 = -1 · 210 · 36 · 5 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64764,-6368432] |
[a1,a2,a3,a4,a6] |
j |
-41209841879252929/307807431680 |
j-invariant |
L |
2.0939685100552 |
L(r)(E,1)/r! |
Ω |
0.14956917929474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110e1 |
Quadratic twists by: -3 |