Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640ca |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-24122051788800 = -1 · 218 · 3 · 52 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3464,-221740] |
[a1,a2,a3,a4,a6] |
Generators |
[506:4035:8] |
Generators of the group modulo torsion |
j |
1121946206471/5889172800 |
j-invariant |
L |
7.1777521469769 |
L(r)(E,1)/r! |
Ω |
0.33837189087207 |
Real period |
R |
5.3031533255946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330d1 |
Quadratic twists by: -4 |