Atkin-Lehner |
3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10323c |
Isogeny class |
Conductor |
10323 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
25921053 = 36 · 312 · 37 |
Discriminant |
Eigenvalues |
0 3- 2 -5 3 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-84,-167] |
[a1,a2,a3,a4,a6] |
Generators |
[11:15:1] |
Generators of the group modulo torsion |
j |
89915392/35557 |
j-invariant |
L |
3.3905156368091 |
L(r)(E,1)/r! |
Ω |
1.6314817274596 |
Real period |
R |
1.0390909011554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1147a1 |
Quadratic twists by: -3 |