Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310dm |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
77263200 = 25 · 33 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
3902092369/1576800 |
j-invariant |
L |
14.680925288317 |
L(r)(E,1)/r! |
Ω |
1.4939951149922 |
Real period |
R |
0.32755406688852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310cb1 |
Quadratic twists by: -7 |