Atkin-Lehner |
2- 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670cg |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
147533736960000000 = 216 · 36 · 57 · 292 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94725572,-354829714329] |
[a1,a2,a3,a4,a6] |
Generators |
[-5619:2829:1] |
Generators of the group modulo torsion |
j |
128943035183824533700326649/202378240000000 |
j-invariant |
L |
13.601233094664 |
L(r)(E,1)/r! |
Ω |
0.048393022291456 |
Real period |
R |
1.2547220226084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630a1 |
Quadratic twists by: -3 |