Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600bk |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3901500000000 = -1 · 28 · 33 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1425,-92750] |
[a1,a2,a3,a4,a6] |
Generators |
[41:186:1] [45:250:1] |
Generators of the group modulo torsion |
j |
2963088/36125 |
j-invariant |
L |
8.2242897438589 |
L(r)(E,1)/r! |
Ω |
0.38507368271309 |
Real period |
R |
1.3348565016688 |
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 |
61200a1 30600e1 6120a1 |
Quadratic twists by: -4 -3 5 |