Atkin-Lehner |
7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4123c |
Isogeny class |
Conductor |
4123 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-4123 = -1 · 7 · 19 · 31 |
Discriminant |
Eigenvalues |
0 -2 0 7- -6 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1373,19131] |
[a1,a2,a3,a4,a6] |
Generators |
[17:31:1] [147:1736:1] |
Generators of the group modulo torsion |
j |
-286451826688000/4123 |
j-invariant |
L |
2.9989739493529 |
L(r)(E,1)/r! |
Ω |
3.1159774687551 |
Real period |
R |
8.662054143465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65968h1 37107o1 103075g1 28861d1 |
Quadratic twists by: -4 -3 5 -7 |