Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400j |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-6020000000000 = -1 · 211 · 510 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,127312] |
[a1,a2,a3,a4,a6] |
Generators |
[2:350:1] |
Generators of the group modulo torsion |
j |
-48275138/188125 |
j-invariant |
L |
5.4334819733998 |
L(r)(E,1)/r! |
Ω |
0.66020355407774 |
Real period |
R |
2.0575025706121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998800605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60200a1 24080b1 |
Quadratic twists by: -4 5 |