Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1449c |
Isogeny class |
Conductor |
1449 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-15087432843 = -1 · 311 · 7 · 233 |
Discriminant |
Eigenvalues |
-2 3- -4 7+ 5 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-867,11466] |
[a1,a2,a3,a4,a6] |
Generators |
[98:931:1] |
Generators of the group modulo torsion |
j |
-98867482624/20696067 |
j-invariant |
L |
1.1329090491701 |
L(r)(E,1)/r! |
Ω |
1.1922473937177 |
Real period |
R |
0.079185819929917 |
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 |
23184bv1 92736bs1 483a1 36225bs1 |
Quadratic twists by: -4 8 -3 5 |