Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184d |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
29440 |
Modular degree for the optimal curve |
Δ |
-2491328157696 = -1 · 211 · 33 · 7 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -2 -3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,981,-75014] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3174:1] |
Generators of the group modulo torsion |
j |
1888152282/45054401 |
j-invariant |
L |
3.8169501346442 |
L(r)(E,1)/r! |
Ω |
0.39429863892952 |
Real period |
R |
0.48401766551958 |
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 |
11592i1 92736dp1 23184b1 |
Quadratic twists by: -4 8 -3 |