Atkin-Lehner |
2- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690t |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10725120 |
Modular degree for the optimal curve |
Δ |
2.9945418353891E+21 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 3 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3951213,-1484594219] |
[a1,a2,a3,a4,a6] |
Generators |
[-10832829:368335192:9261] |
Generators of the group modulo torsion |
j |
21141340775451/9280000000 |
j-invariant |
L |
19.57166293743 |
L(r)(E,1)/r! |
Ω |
0.11148918732588 |
Real period |
R |
7.3144847046715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104690b1 |
Quadratic twists by: -19 |