Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bz |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5725440 |
Modular degree for the optimal curve |
Δ |
-9.0657983283916E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 -7 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2338787,450116917] |
[a1,a2,a3,a4,a6] |
Generators |
[1666298:760492071:8] |
Generators of the group modulo torsion |
j |
13816421800813898240/8853318680069907 |
j-invariant |
L |
2.1177630967446 |
L(r)(E,1)/r! |
Ω |
0.098101360727325 |
Real period |
R |
5.3968749141069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200v1 103200bj1 |
Quadratic twists by: -4 5 |