Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600k |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
41779200 = 215 · 3 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 1 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1153,15457] |
[a1,a2,a3,a4,a6] |
Generators |
[21:8:1] |
Generators of the group modulo torsion |
j |
207108680/51 |
j-invariant |
L |
3.3301534785927 |
L(r)(E,1)/r! |
Ω |
1.9840799403173 |
Real period |
R |
0.41960928740099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600da1 40800v1 81600ew1 |
Quadratic twists by: -4 8 5 |