Atkin-Lehner |
2- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690bl |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
12961140215500 = 22 · 53 · 197 · 29 |
Discriminant |
Eigenvalues |
2- 3 5- -3 -3 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6927,-136949] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:3928:27] |
Generators of the group modulo torsion |
j |
781229961/275500 |
j-invariant |
L |
18.374278761547 |
L(r)(E,1)/r! |
Ω |
0.53851966498293 |
Real period |
R |
1.4216657221512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510e1 |
Quadratic twists by: -19 |