Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57420c |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-5023101600000 = -1 · 28 · 39 · 55 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3753,61614] |
[a1,a2,a3,a4,a6] |
Generators |
[3:270:1] |
Generators of the group modulo torsion |
j |
1160187408/996875 |
j-invariant |
L |
6.3457626058142 |
L(r)(E,1)/r! |
Ω |
0.49846675329036 |
Real period |
R |
0.42435211334524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57420b1 |
Quadratic twists by: -3 |