Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310f |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-13763520000 = -1 · 29 · 36 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3150,-67500] |
[a1,a2,a3,a4,a6] |
Generators |
[75:300:1] |
Generators of the group modulo torsion |
j |
-4742478770401/18880000 |
j-invariant |
L |
2.5056736921814 |
L(r)(E,1)/r! |
Ω |
0.31855320713655 |
Real period |
R |
1.9664483326858 |
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 |
42480bm1 590d1 26550cb1 |
Quadratic twists by: -4 -3 5 |