Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310ba |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-104404930560 = -1 · 212 · 39 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,216,-15552] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1656:1] |
Generators of the group modulo torsion |
j |
1524845951/143216640 |
j-invariant |
L |
4.312146931962 |
L(r)(E,1)/r! |
Ω |
0.50345071152015 |
Real period |
R |
1.0706477400096 |
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 |
7770ba1 116550dz1 |
Quadratic twists by: -3 5 |