Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310cu |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
639744 |
Modular degree for the optimal curve |
Δ |
-3607796478247920 = -1 · 24 · 37 · 5 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14456,-2967504] |
[a1,a2,a3,a4,a6] |
j |
-1182740881/12772080 |
j-invariant |
L |
5.2814074811378 |
L(r)(E,1)/r! |
Ω |
0.18862170158656 |
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 |
107310co1 |
Quadratic twists by: -7 |