Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800cp |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-838464307200000000 = -1 · 223 · 39 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124875,47216250] |
[a1,a2,a3,a4,a6] |
Generators |
[325:6400:1] |
Generators of the group modulo torsion |
j |
-6838155/26624 |
j-invariant |
L |
5.5256241950666 |
L(r)(E,1)/r! |
Ω |
0.24605447594088 |
Real period |
R |
0.93570474823024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850bh1 46800cq1 46800cf1 |
Quadratic twists by: -4 -3 5 |