Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850ba |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-7190200811250000000 = -1 · 27 · 36 · 510 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4925742,-4208551084] |
[a1,a2,a3,a4,a6] |
Generators |
[14950408463015:1896562021949022:904231063] |
Generators of the group modulo torsion |
j |
-1856569331248425/1009981568 |
j-invariant |
L |
4.1666633868706 |
L(r)(E,1)/r! |
Ω |
0.050668432515161 |
Real period |
R |
20.558477833431 |
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 |
2650k1 23850cy1 |
Quadratic twists by: -3 5 |