Atkin-Lehner |
2+ 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150f |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4658948997120000000 = -1 · 230 · 33 · 57 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9011067,10414250341] |
[a1,a2,a3,a4,a6] |
j |
-191808834096148160787/11043434659840 |
j-invariant |
L |
0.92475214245554 |
L(r)(E,1)/r! |
Ω |
0.23118804344352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150eh3 16830bj1 |
Quadratic twists by: -3 5 |