Atkin-Lehner |
2- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106930w |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
699840 |
Modular degree for the optimal curve |
Δ |
-395641000000000 = -1 · 29 · 59 · 172 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- 3 1 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143407,20960439] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4626:1] |
Generators of the group modulo torsion |
j |
-1128584502401500449/1369000000000 |
j-invariant |
L |
12.206582565203 |
L(r)(E,1)/r! |
Ω |
0.53189749349561 |
Real period |
R |
0.14166127116661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106930u1 |
Quadratic twists by: 17 |