Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bu |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-17085477483970560 = -1 · 222 · 313 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64418,8912801] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:3967:1] |
Generators of the group modulo torsion |
j |
-40551934291467481/23436868976640 |
j-invariant |
L |
8.7119239037904 |
L(r)(E,1)/r! |
Ω |
0.36150475394559 |
Real period |
R |
0.27385292776859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330l1 |
Quadratic twists by: -3 |