Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102080t |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-2813109207040 = -1 · 221 · 5 · 11 · 293 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3295,-35935] |
[a1,a2,a3,a4,a6] |
Generators |
[8433:43712:729] |
Generators of the group modulo torsion |
j |
15087533111/10731160 |
j-invariant |
L |
10.710554130657 |
L(r)(E,1)/r! |
Ω |
0.4537742893651 |
Real period |
R |
5.9008158765433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102080bo1 3190a1 |
Quadratic twists by: -4 8 |