Atkin-Lehner |
2+ 3+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30552a |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
340800 |
Modular degree for the optimal curve |
Δ |
-46327477283709696 = -1 · 28 · 35 · 195 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 5 -7 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138545,22434069] |
[a1,a2,a3,a4,a6] |
Generators |
[465:7638:1] |
Generators of the group modulo torsion |
j |
-1148839746476471296/180966708139491 |
j-invariant |
L |
4.340524744332 |
L(r)(E,1)/r! |
Ω |
0.3460586978814 |
Real period |
R |
0.20904568940207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61104h1 91656r1 |
Quadratic twists by: -4 -3 |