Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800u |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-7058940000000 = -1 · 28 · 3 · 57 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4492,-55488] |
[a1,a2,a3,a4,a6] |
Generators |
[37:400:1] [76:848:1] |
Generators of the group modulo torsion |
j |
21296/15 |
j-invariant |
L |
8.6203735551222 |
L(r)(E,1)/r! |
Ω |
0.42085644250634 |
Real period |
R |
10.241465597846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400eb1 11760bf1 1200g1 |
Quadratic twists by: -4 5 -7 |