Atkin-Lehner |
2+ 3+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23478c |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
204145563009024 = 218 · 37 · 72 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93781,10993645] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:1963:1] |
Generators of the group modulo torsion |
j |
91216945657245012697/204145563009024 |
j-invariant |
L |
2.4465600580399 |
L(r)(E,1)/r! |
Ω |
0.564894908439 |
Real period |
R |
2.165500185513 |
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 |
70434bc1 |
Quadratic twists by: -3 |