Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600y |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-182028384000 = -1 · 28 · 39 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,-21350] |
[a1,a2,a3,a4,a6] |
Generators |
[50:270:1] |
Generators of the group modulo torsion |
j |
-1102736/7803 |
j-invariant |
L |
5.1743099231264 |
L(r)(E,1)/r! |
Ω |
0.42512397599512 |
Real period |
R |
1.5214120513359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200cd1 10200bp1 30600cs1 |
Quadratic twists by: -4 -3 5 |