Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966ci |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-283984920576 = -1 · 217 · 32 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 2 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24750,1496800] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-21:1] |
Generators of the group modulo torsion |
j |
-6964360655609/1179648 |
j-invariant |
L |
4.5897813429994 |
L(r)(E,1)/r! |
Ω |
0.94450410342646 |
Real period |
R |
1.2148653800175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966d1 84966bb1 |
Quadratic twists by: -7 17 |