Atkin-Lehner |
2+ 3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666k |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
5338168568088265728 = 210 · 35 · 7 · 139 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-476245,-60577811] |
[a1,a2,a3,a4,a6] |
Generators |
[-358149:9417682:1331] |
Generators of the group modulo torsion |
j |
1126487180125/503387136 |
j-invariant |
L |
3.7620071466181 |
L(r)(E,1)/r! |
Ω |
0.18946071373533 |
Real period |
R |
9.9281985057471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120666bv1 |
Quadratic twists by: 13 |