Atkin-Lehner |
2+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6970b |
Isogeny class |
Conductor |
6970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7019940050 = -1 · 2 · 52 · 174 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20,4026] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:64:1] [23:116:1] |
Generators of the group modulo torsion |
j |
860085351/7019940050 |
j-invariant |
L |
3.6534691993412 |
L(r)(E,1)/r! |
Ω |
1.0459854986396 |
Real period |
R |
0.87321220133852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55760n2 62730be2 34850o2 118490f2 |
Quadratic twists by: -4 -3 5 17 |