Atkin-Lehner |
2- 83- |
Signs for the Atkin-Lehner involutions |
Class |
13778c |
Isogeny class |
Conductor |
13778 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55104 |
Modular degree for the optimal curve |
Δ |
-434176815834032 = -1 · 24 · 837 |
Discriminant |
Eigenvalues |
2- -1 2 1 -5 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44922,-3818057] |
[a1,a2,a3,a4,a6] |
Generators |
[5111:362561:1] |
Generators of the group modulo torsion |
j |
-30664297/1328 |
j-invariant |
L |
6.5934354502586 |
L(r)(E,1)/r! |
Ω |
0.16355203827196 |
Real period |
R |
2.5196244571157 |
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 |
110224j1 124002k1 166a1 |
Quadratic twists by: -4 -3 -83 |