Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792x |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-2964061456995188736 = -1 · 221 · 39 · 195 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -1 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1038497,-416022081] |
[a1,a2,a3,a4,a6] |
Generators |
[3619:207936:1] |
Generators of the group modulo torsion |
j |
-472497970270424617/11306997135144 |
j-invariant |
L |
6.7692106403689 |
L(r)(E,1)/r! |
Ω |
0.074671329207369 |
Real period |
R |
0.50363005653797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792bf1 3306b1 |
Quadratic twists by: -4 8 |