Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480k |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
139907250000 = 24 · 35 · 56 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3515,-79350] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:45:1] |
Generators of the group modulo torsion |
j |
300264000342016/8744203125 |
j-invariant |
L |
7.5613447482346 |
L(r)(E,1)/r! |
Ω |
0.62112807537939 |
Real period |
R |
0.4057855938764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960f1 118440cf1 |
Quadratic twists by: -4 -3 |