Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31790i |
Isogeny class |
Conductor |
31790 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-245546661923200000 = -1 · 210 · 55 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,154561,-4663155] |
[a1,a2,a3,a4,a6] |
Generators |
[4926:344337:1] |
Generators of the group modulo torsion |
j |
16917195186711/10172800000 |
j-invariant |
L |
3.7104191017235 |
L(r)(E,1)/r! |
Ω |
0.18170827991192 |
Real period |
R |
2.0419647929757 |
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 |
1870a1 |
Quadratic twists by: 17 |