Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990j |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
51497026560 = 210 · 39 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1149,10565] |
[a1,a2,a3,a4,a6] |
Generators |
[59:352:1] |
Generators of the group modulo torsion |
j |
8527173507/2616320 |
j-invariant |
L |
4.3806489599962 |
L(r)(E,1)/r! |
Ω |
1.0417088535675 |
Real period |
R |
4.2052526912616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45990bk1 |
Quadratic twists by: -3 |