Atkin-Lehner |
3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
30927b |
Isogeny class |
Conductor |
30927 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
52396831401993 = 34 · 139 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9383,29180] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2174:1] |
Generators of the group modulo torsion |
j |
8615125/4941 |
j-invariant |
L |
2.936655295103 |
L(r)(E,1)/r! |
Ω |
0.53982931313137 |
Real period |
R |
5.4399700491783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92781m1 30927a1 |
Quadratic twists by: -3 13 |