Atkin-Lehner |
2- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690bg |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-5234500 = -1 · 22 · 53 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- -1 -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,40,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
19575719/14500 |
j-invariant |
L |
15.720688864597 |
L(r)(E,1)/r! |
Ω |
1.3553717708162 |
Real period |
R |
1.9331336692881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104690m1 |
Quadratic twists by: -19 |