Atkin-Lehner |
3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
107085d |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824000 |
Modular degree for the optimal curve |
Δ |
8.022297596822E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30826083,64438024248] |
[a1,a2,a3,a4,a6] |
Generators |
[4610826345372:227404639767462:786330467] |
Generators of the group modulo torsion |
j |
1828616581180443279889/45283778525390625 |
j-invariant |
L |
7.4106738989463 |
L(r)(E,1)/r! |
Ω |
0.1081272232606 |
Real period |
R |
17.134153834473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735c1 |
Quadratic twists by: -11 |