Atkin-Lehner |
3+ 7+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
30597b |
Isogeny class |
Conductor |
30597 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
614880 |
Modular degree for the optimal curve |
Δ |
-1.2282529745123E+19 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 4 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,343975,149559524] |
[a1,a2,a3,a4,a6] |
Generators |
[334:17366:1] |
Generators of the group modulo torsion |
j |
4500938589839593570304/12282529745123199891 |
j-invariant |
L |
3.5068577001873 |
L(r)(E,1)/r! |
Ω |
0.15809164127467 |
Real period |
R |
3.6970726513559 |
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 |
91791a1 |
Quadratic twists by: -3 |