Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420o |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1082880 |
Modular degree for the optimal curve |
Δ |
-4868340468750000 = -1 · 24 · 34 · 510 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102065,13025850] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:4675:1] |
Generators of the group modulo torsion |
j |
-5521542874382336/228603515625 |
j-invariant |
L |
7.4347740540975 |
L(r)(E,1)/r! |
Ω |
0.42926297475966 |
Real period |
R |
0.28866431262745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999480452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123420p1 |
Quadratic twists by: -11 |