Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828c |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
65495549161734912 = 28 · 33 · 112 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120788,-10422456] |
[a1,a2,a3,a4,a6] |
Generators |
[93230:2214394:125] |
Generators of the group modulo torsion |
j |
5142706000/1728243 |
j-invariant |
L |
6.9876669739205 |
L(r)(E,1)/r! |
Ω |
0.26303157649903 |
Real period |
R |
4.4276477294763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036d2 |
Quadratic twists by: -23 |