Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ed |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-84339505800 = -1 · 23 · 33 · 52 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-665,15617] |
[a1,a2,a3,a4,a6] |
Generators |
[93:820:1] |
Generators of the group modulo torsion |
j |
-48114111915/124947416 |
j-invariant |
L |
6.9981407127503 |
L(r)(E,1)/r! |
Ω |
0.95327407750826 |
Real period |
R |
0.24470544475462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150q1 84150w1 |
Quadratic twists by: -3 5 |