Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bb |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-19575924480 = -1 · 28 · 310 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-189,6853] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:91:1] |
Generators of the group modulo torsion |
j |
-1027243729/26853120 |
j-invariant |
L |
4.1989486030207 |
L(r)(E,1)/r! |
Ω |
1.0203530331845 |
Real period |
R |
2.0575959822042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770p1 116550ec1 |
Quadratic twists by: -3 5 |