Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gc |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-11767111801200 = -1 · 24 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-489918,132151167] |
[a1,a2,a3,a4,a6] |
Generators |
[3498:9261:8] |
Generators of the group modulo torsion |
j |
-805661175040/729 |
j-invariant |
L |
3.624679831679 |
L(r)(E,1)/r! |
Ω |
0.59804984108793 |
Real period |
R |
1.5152080908331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bj1 58800ke1 58800jc1 |
Quadratic twists by: -4 5 -7 |