Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1216n |
Isogeny class |
Conductor |
1216 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-158470336 = -1 · 26 · 195 |
Discriminant |
Eigenvalues |
2- 0 -3 5 -5 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14,606] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:19:1] |
Generators of the group modulo torsion |
j |
-4741632/2476099 |
j-invariant |
L |
2.4258116618234 |
L(r)(E,1)/r! |
Ω |
1.4751434853039 |
Real period |
R |
0.32889162118675 |
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 |
1216i1 608b1 10944co1 30400bp1 |
Quadratic twists by: -4 8 -3 5 |