Atkin-Lehner |
2- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
57820l |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-16189600000 = -1 · 28 · 55 · 73 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-380,6628] |
[a1,a2,a3,a4,a6] |
Generators |
[16:70:1] [-17:92:1] |
Generators of the group modulo torsion |
j |
-69291952/184375 |
j-invariant |
L |
7.6284435334884 |
L(r)(E,1)/r! |
Ω |
1.0930389635677 |
Real period |
R |
0.23263713334271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57820h1 |
Quadratic twists by: -7 |