Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dp |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-84742574700000000 = -1 · 28 · 3 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80033,-16522437] |
[a1,a2,a3,a4,a6] |
Generators |
[1136436080630682:145965147845969775:68870582299] |
Generators of the group modulo torsion |
j |
-50176/75 |
j-invariant |
L |
6.6697858132664 |
L(r)(E,1)/r! |
Ω |
0.13474371112532 |
Real period |
R |
24.749896516739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400p1 11760h1 58800l1 |
Quadratic twists by: -4 5 -7 |