Atkin-Lehner |
3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30153i |
Isogeny class |
Conductor |
30153 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-166086052981659 = -1 · 310 · 19 · 236 |
Discriminant |
Eigenvalues |
-2 3- -1 -3 3 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,10404,469982] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:1583:8] [153:2380:1] |
Generators of the group modulo torsion |
j |
841232384/1121931 |
j-invariant |
L |
4.6758930831648 |
L(r)(E,1)/r! |
Ω |
0.38647001595774 |
Real period |
R |
0.30247450578898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90459s1 57c1 |
Quadratic twists by: -3 -23 |