Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150gw |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
704000 |
Modular degree for the optimal curve |
Δ |
-23389512222656250 = -1 · 2 · 37 · 59 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4945,7355697] |
[a1,a2,a3,a4,a6] |
Generators |
[502:22245:8] |
Generators of the group modulo torsion |
j |
9393931/16427202 |
j-invariant |
L |
7.9905380439467 |
L(r)(E,1)/r! |
Ω |
0.29758213529829 |
Real period |
R |
3.3564422624917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050s1 84150cz1 |
Quadratic twists by: -3 5 |