Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bv |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
9729331200 = 212 · 35 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31365,2148525] |
[a1,a2,a3,a4,a6] |
Generators |
[100:45:1] |
Generators of the group modulo torsion |
j |
833131367796736/2375325 |
j-invariant |
L |
4.6556020642605 |
L(r)(E,1)/r! |
Ω |
1.1234002266553 |
Real period |
R |
2.0721030447648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5865i1 |
Quadratic twists by: -4 |