Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800cu |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-13522432000 = -1 · 212 · 53 · 74 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1288,18228] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:182:1] [3:120:1] |
Generators of the group modulo torsion |
j |
-461889917/26411 |
j-invariant |
L |
6.0763290970558 |
L(r)(E,1)/r! |
Ω |
1.2401076395361 |
Real period |
R |
0.61248000811928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1925h1 123200hu1 30800cg1 |
Quadratic twists by: -4 8 5 |