Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912ba |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-22413602514272256 = -1 · 231 · 33 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-328417,-72908161] |
[a1,a2,a3,a4,a6] |
Generators |
[1331:-43008:1] |
Generators of the group modulo torsion |
j |
-14943832855786297/85501108224 |
j-invariant |
L |
4.7535317103834 |
L(r)(E,1)/r! |
Ω |
0.099681482774942 |
Real period |
R |
0.79478681798165 |
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 |
30912bl1 966b1 92736cp1 |
Quadratic twists by: -4 8 -3 |