Atkin-Lehner |
2+ 3+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
27738b |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
186293511792 = 24 · 33 · 235 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3903,92509] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:173:1] [-146:3247:8] |
Generators of the group modulo torsion |
j |
243566856319851/6899759696 |
j-invariant |
L |
5.0888628830596 |
L(r)(E,1)/r! |
Ω |
1.0063311789878 |
Real period |
R |
0.25284235395442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27738i1 |
Quadratic twists by: -3 |